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Finding the Fourth Proportional to 1,057.59, 1,586.32 and 565.04

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Solution

The fourth proportional to 1,057.59, 1,586.32 and 565.04 is: 847.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.59 : 1,586.32 = 565.04 : x
  2. Step 2: Convert to fraction form
    1,057.59/1,586.32 = 565.04/x
  3. Step 3: Cross multiply
    1,057.59x = 1,586.32 × 565.04
  4. Step 4: Simplify right side
    1,057.59x = 896,336.81
  5. Step 5: Solve for x
    x = 896,336.81/1,057.59
  6. Step 6: Final answer
    x = 847.53

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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.