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Finding the Fourth Proportional to 1,232.42, 1,700.53 and 790.22

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Solution

The fourth proportional to 1,232.42, 1,700.53 and 790.22 is: 1,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.42 : 1,700.53 = 790.22 : x
  2. Step 2: Convert to fraction form
    1,232.42/1,700.53 = 790.22/x
  3. Step 3: Cross multiply
    1,232.42x = 1,700.53 × 790.22
  4. Step 4: Simplify right side
    1,232.42x = 1,343,795.09
  5. Step 5: Solve for x
    x = 1,343,795.09/1,232.42
  6. Step 6: Final answer
    x = 1,090.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.