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Finding the Fourth Proportional to 750.98, 1,036.17 and 456.24

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Solution

The fourth proportional to 750.98, 1,036.17 and 456.24 is: 629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.98 : 1,036.17 = 456.24 : x
  2. Step 2: Convert to fraction form
    750.98/1,036.17 = 456.24/x
  3. Step 3: Cross multiply
    750.98x = 1,036.17 × 456.24
  4. Step 4: Simplify right side
    750.98x = 472,742.20
  5. Step 5: Solve for x
    x = 472,742.20/750.98
  6. Step 6: Final answer
    x = 629.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.