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Finding the Fourth Proportional to 592.47, 882.78 and 527.81

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Solution

The fourth proportional to 592.47, 882.78 and 527.81 is: 786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.47 : 882.78 = 527.81 : x
  2. Step 2: Convert to fraction form
    592.47/882.78 = 527.81/x
  3. Step 3: Cross multiply
    592.47x = 882.78 × 527.81
  4. Step 4: Simplify right side
    592.47x = 465,935.70
  5. Step 5: Solve for x
    x = 465,935.70/592.47
  6. Step 6: Final answer
    x = 786.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.