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Finding the Fourth Proportional to 1,056.91, 1,585.14 and 363.61

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Solution

The fourth proportional to 1,056.91, 1,585.14 and 363.61 is: 545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.91 : 1,585.14 = 363.61 : x
  2. Step 2: Convert to fraction form
    1,056.91/1,585.14 = 363.61/x
  3. Step 3: Cross multiply
    1,056.91x = 1,585.14 × 363.61
  4. Step 4: Simplify right side
    1,056.91x = 576,372.76
  5. Step 5: Solve for x
    x = 576,372.76/1,056.91
  6. Step 6: Final answer
    x = 545.34

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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.