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Finding the Fourth Proportional to 750.81, 1,036.41 and 471.10

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Solution

The fourth proportional to 750.81, 1,036.41 and 471.10 is: 650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.81 : 1,036.41 = 471.10 : x
  2. Step 2: Convert to fraction form
    750.81/1,036.41 = 471.10/x
  3. Step 3: Cross multiply
    750.81x = 1,036.41 × 471.10
  4. Step 4: Simplify right side
    750.81x = 488,252.75
  5. Step 5: Solve for x
    x = 488,252.75/750.81
  6. Step 6: Final answer
    x = 650.30

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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.