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Finding the Fourth Proportional to 1,034.91, 1,428.15 and 562.79

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Solution

The fourth proportional to 1,034.91, 1,428.15 and 562.79 is: 776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.91 : 1,428.15 = 562.79 : x
  2. Step 2: Convert to fraction form
    1,034.91/1,428.15 = 562.79/x
  3. Step 3: Cross multiply
    1,034.91x = 1,428.15 × 562.79
  4. Step 4: Simplify right side
    1,034.91x = 803,741.40
  5. Step 5: Solve for x
    x = 803,741.40/1,034.91
  6. Step 6: Final answer
    x = 776.63

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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.