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Finding the Fourth Proportional to 750.80, 1,035.78 and 471.08

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Solution

The fourth proportional to 750.80, 1,035.78 and 471.08 is: 649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.80 : 1,035.78 = 471.08 : x
  2. Step 2: Convert to fraction form
    750.80/1,035.78 = 471.08/x
  3. Step 3: Cross multiply
    750.80x = 1,035.78 × 471.08
  4. Step 4: Simplify right side
    750.80x = 487,935.24
  5. Step 5: Solve for x
    x = 487,935.24/750.80
  6. Step 6: Final answer
    x = 649.89

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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.