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Finding the Fourth Proportional to 1,162.47, 1,744.08 and 468.78

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Solution

The fourth proportional to 1,162.47, 1,744.08 and 468.78 is: 703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.47 : 1,744.08 = 468.78 : x
  2. Step 2: Convert to fraction form
    1,162.47/1,744.08 = 468.78/x
  3. Step 3: Cross multiply
    1,162.47x = 1,744.08 × 468.78
  4. Step 4: Simplify right side
    1,162.47x = 817,581.52
  5. Step 5: Solve for x
    x = 817,581.52/1,162.47
  6. Step 6: Final answer
    x = 703.32

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