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Finding the Fourth Proportional to 1,034.76, 1,428.04 and 592.78

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Solution

The fourth proportional to 1,034.76, 1,428.04 and 592.78 is: 818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.76 : 1,428.04 = 592.78 : x
  2. Step 2: Convert to fraction form
    1,034.76/1,428.04 = 592.78/x
  3. Step 3: Cross multiply
    1,034.76x = 1,428.04 × 592.78
  4. Step 4: Simplify right side
    1,034.76x = 846,513.55
  5. Step 5: Solve for x
    x = 846,513.55/1,034.76
  6. Step 6: Final answer
    x = 818.08

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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.