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Finding the Fourth Proportional to 1,107.32, 1,657.40 and 586.58

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Solution

The fourth proportional to 1,107.32, 1,657.40 and 586.58 is: 877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.32 : 1,657.40 = 586.58 : x
  2. Step 2: Convert to fraction form
    1,107.32/1,657.40 = 586.58/x
  3. Step 3: Cross multiply
    1,107.32x = 1,657.40 × 586.58
  4. Step 4: Simplify right side
    1,107.32x = 972,186.47
  5. Step 5: Solve for x
    x = 972,186.47/1,107.32
  6. Step 6: Final answer
    x = 877.97

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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.