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Finding the Fourth Proportional to 1,057.32, 1,584 and 471.69

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Solution

The fourth proportional to 1,057.32, 1,584 and 471.69 is: 706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.32 : 1,584 = 471.69 : x
  2. Step 2: Convert to fraction form
    1,057.32/1,584 = 471.69/x
  3. Step 3: Cross multiply
    1,057.32x = 1,584 × 471.69
  4. Step 4: Simplify right side
    1,057.32x = 747,156.96
  5. Step 5: Solve for x
    x = 747,156.96/1,057.32
  6. Step 6: Final answer
    x = 706.65

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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.