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Finding the Fourth Proportional to 1,130.30, 1,560.01 and 658.34

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Solution

The fourth proportional to 1,130.30, 1,560.01 and 658.34 is: 908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.30 : 1,560.01 = 658.34 : x
  2. Step 2: Convert to fraction form
    1,130.30/1,560.01 = 658.34/x
  3. Step 3: Cross multiply
    1,130.30x = 1,560.01 × 658.34
  4. Step 4: Simplify right side
    1,130.30x = 1,027,016.98
  5. Step 5: Solve for x
    x = 1,027,016.98/1,130.30
  6. Step 6: Final answer
    x = 908.62

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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.