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Finding the Fourth Proportional to 1,120.34, 1,678.68 and 658.52

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Solution

The fourth proportional to 1,120.34, 1,678.68 and 658.52 is: 986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.34 : 1,678.68 = 658.52 : x
  2. Step 2: Convert to fraction form
    1,120.34/1,678.68 = 658.52/x
  3. Step 3: Cross multiply
    1,120.34x = 1,678.68 × 658.52
  4. Step 4: Simplify right side
    1,120.34x = 1,105,444.35
  5. Step 5: Solve for x
    x = 1,105,444.35/1,120.34
  6. Step 6: Final answer
    x = 986.70

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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.