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Finding the Fourth Proportional to 1,057.46, 1,458.59 and 659.30

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Solution

The fourth proportional to 1,057.46, 1,458.59 and 659.30 is: 909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.46 : 1,458.59 = 659.30 : x
  2. Step 2: Convert to fraction form
    1,057.46/1,458.59 = 659.30/x
  3. Step 3: Cross multiply
    1,057.46x = 1,458.59 × 659.30
  4. Step 4: Simplify right side
    1,057.46x = 961,637.80
  5. Step 5: Solve for x
    x = 961,637.80/1,057.46
  6. Step 6: Final answer
    x = 909.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.