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Finding the Fourth Proportional to 1,057.70, 1,589.76 and 707.55

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Solution

The fourth proportional to 1,057.70, 1,589.76 and 707.55 is: 1,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.70 : 1,589.76 = 707.55 : x
  2. Step 2: Convert to fraction form
    1,057.70/1,589.76 = 707.55/x
  3. Step 3: Cross multiply
    1,057.70x = 1,589.76 × 707.55
  4. Step 4: Simplify right side
    1,057.70x = 1,124,834.69
  5. Step 5: Solve for x
    x = 1,124,834.69/1,057.70
  6. Step 6: Final answer
    x = 1,063.47

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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.