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Finding the Fourth Proportional to 1,090.19, 1,505.01 and 717.41

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Solution

The fourth proportional to 1,090.19, 1,505.01 and 717.41 is: 990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.19 : 1,505.01 = 717.41 : x
  2. Step 2: Convert to fraction form
    1,090.19/1,505.01 = 717.41/x
  3. Step 3: Cross multiply
    1,090.19x = 1,505.01 × 717.41
  4. Step 4: Simplify right side
    1,090.19x = 1,079,709.22
  5. Step 5: Solve for x
    x = 1,079,709.22/1,090.19
  6. Step 6: Final answer
    x = 990.39

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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.