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Finding the Fourth Proportional to 1,176.52, 1,764.73 and 560.65

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Solution

The fourth proportional to 1,176.52, 1,764.73 and 560.65 is: 840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.52 : 1,764.73 = 560.65 : x
  2. Step 2: Convert to fraction form
    1,176.52/1,764.73 = 560.65/x
  3. Step 3: Cross multiply
    1,176.52x = 1,764.73 × 560.65
  4. Step 4: Simplify right side
    1,176.52x = 989,384.25
  5. Step 5: Solve for x
    x = 989,384.25/1,176.52
  6. Step 6: Final answer
    x = 840.94

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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.