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Finding the Fourth Proportional to 875.47, 1,313.39 and 732.19

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Solution

The fourth proportional to 875.47, 1,313.39 and 732.19 is: 1,098.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.47 : 1,313.39 = 732.19 : x
  2. Step 2: Convert to fraction form
    875.47/1,313.39 = 732.19/x
  3. Step 3: Cross multiply
    875.47x = 1,313.39 × 732.19
  4. Step 4: Simplify right side
    875.47x = 961,651.02
  5. Step 5: Solve for x
    x = 961,651.02/875.47
  6. Step 6: Final answer
    x = 1,098.44

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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.