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Finding the Fourth Proportional to 1,056.73, 1,585.28 and 363.46

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Solution

The fourth proportional to 1,056.73, 1,585.28 and 363.46 is: 545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.73 : 1,585.28 = 363.46 : x
  2. Step 2: Convert to fraction form
    1,056.73/1,585.28 = 363.46/x
  3. Step 3: Cross multiply
    1,056.73x = 1,585.28 × 363.46
  4. Step 4: Simplify right side
    1,056.73x = 576,185.87
  5. Step 5: Solve for x
    x = 576,185.87/1,056.73
  6. Step 6: Final answer
    x = 545.25

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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.