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Finding the Fourth Proportional to 1,095.53, 1,640.61 and 575.96

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Solution

The fourth proportional to 1,095.53, 1,640.61 and 575.96 is: 862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.53 : 1,640.61 = 575.96 : x
  2. Step 2: Convert to fraction form
    1,095.53/1,640.61 = 575.96/x
  3. Step 3: Cross multiply
    1,095.53x = 1,640.61 × 575.96
  4. Step 4: Simplify right side
    1,095.53x = 944,926.76
  5. Step 5: Solve for x
    x = 944,926.76/1,095.53
  6. Step 6: Final answer
    x = 862.53

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Why These Related Problems?

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