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Finding the Fourth Proportional to 1,145.60, 1,715.88 and 658.34

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Solution

The fourth proportional to 1,145.60, 1,715.88 and 658.34 is: 986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.60 : 1,715.88 = 658.34 : x
  2. Step 2: Convert to fraction form
    1,145.60/1,715.88 = 658.34/x
  3. Step 3: Cross multiply
    1,145.60x = 1,715.88 × 658.34
  4. Step 4: Simplify right side
    1,145.60x = 1,129,632.44
  5. Step 5: Solve for x
    x = 1,129,632.44/1,145.60
  6. Step 6: Final answer
    x = 986.06

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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.