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Finding the Fourth Proportional to 1,056.66, 1,585.08 and 363.14

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Solution

The fourth proportional to 1,056.66, 1,585.08 and 363.14 is: 544.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.66 : 1,585.08 = 363.14 : x
  2. Step 2: Convert to fraction form
    1,056.66/1,585.08 = 363.14/x
  3. Step 3: Cross multiply
    1,056.66x = 1,585.08 × 363.14
  4. Step 4: Simplify right side
    1,056.66x = 575,609.91
  5. Step 5: Solve for x
    x = 575,609.91/1,056.66
  6. Step 6: Final answer
    x = 544.74

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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.