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Finding the Fourth Proportional to 1,312.42, 1,968.63 and 435.01

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Solution

The fourth proportional to 1,312.42, 1,968.63 and 435.01 is: 652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.42 : 1,968.63 = 435.01 : x
  2. Step 2: Convert to fraction form
    1,312.42/1,968.63 = 435.01/x
  3. Step 3: Cross multiply
    1,312.42x = 1,968.63 × 435.01
  4. Step 4: Simplify right side
    1,312.42x = 856,373.74
  5. Step 5: Solve for x
    x = 856,373.74/1,312.42
  6. Step 6: Final answer
    x = 652.52

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.