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Finding the Fourth Proportional to 1,056.60, 1,584.90 and 363.46

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Solution

The fourth proportional to 1,056.60, 1,584.90 and 363.46 is: 545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.60 : 1,584.90 = 363.46 : x
  2. Step 2: Convert to fraction form
    1,056.60/1,584.90 = 363.46/x
  3. Step 3: Cross multiply
    1,056.60x = 1,584.90 × 363.46
  4. Step 4: Simplify right side
    1,056.60x = 576,045.94
  5. Step 5: Solve for x
    x = 576,045.94/1,056.60
  6. Step 6: Final answer
    x = 545.19

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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.