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Finding the Fourth Proportional to 750.42, 1,036.24 and 471.15

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Solution

The fourth proportional to 750.42, 1,036.24 and 471.15 is: 650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.42 : 1,036.24 = 471.15 : x
  2. Step 2: Convert to fraction form
    750.42/1,036.24 = 471.15/x
  3. Step 3: Cross multiply
    750.42x = 1,036.24 × 471.15
  4. Step 4: Simplify right side
    750.42x = 488,223.30
  5. Step 5: Solve for x
    x = 488,223.30/750.42
  6. Step 6: Final answer
    x = 650.60

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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.