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Finding the Fourth Proportional to 1,023.73, 1,534.51 and 431.08

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Solution

The fourth proportional to 1,023.73, 1,534.51 and 431.08 is: 646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.73 : 1,534.51 = 431.08 : x
  2. Step 2: Convert to fraction form
    1,023.73/1,534.51 = 431.08/x
  3. Step 3: Cross multiply
    1,023.73x = 1,534.51 × 431.08
  4. Step 4: Simplify right side
    1,023.73x = 661,496.57
  5. Step 5: Solve for x
    x = 661,496.57/1,023.73
  6. Step 6: Final answer
    x = 646.16

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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.