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Finding the Fourth Proportional to 1,034.83, 1,552.76 and 644.71

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Solution

The fourth proportional to 1,034.83, 1,552.76 and 644.71 is: 967.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.83 : 1,552.76 = 644.71 : x
  2. Step 2: Convert to fraction form
    1,034.83/1,552.76 = 644.71/x
  3. Step 3: Cross multiply
    1,034.83x = 1,552.76 × 644.71
  4. Step 4: Simplify right side
    1,034.83x = 1,001,068.91
  5. Step 5: Solve for x
    x = 1,001,068.91/1,034.83
  6. Step 6: Final answer
    x = 967.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.