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Finding the Fourth Proportional to 749.47, 1,034.40 and 563.89

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Solution

The fourth proportional to 749.47, 1,034.40 and 563.89 is: 778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.47 : 1,034.40 = 563.89 : x
  2. Step 2: Convert to fraction form
    749.47/1,034.40 = 563.89/x
  3. Step 3: Cross multiply
    749.47x = 1,034.40 × 563.89
  4. Step 4: Simplify right side
    749.47x = 583,287.82
  5. Step 5: Solve for x
    x = 583,287.82/749.47
  6. Step 6: Final answer
    x = 778.27

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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.