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Finding the Fourth Proportional to 1,107.30, 1,658.50 and 740.36

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Solution

The fourth proportional to 1,107.30, 1,658.50 and 740.36 is: 1,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.30 : 1,658.50 = 740.36 : x
  2. Step 2: Convert to fraction form
    1,107.30/1,658.50 = 740.36/x
  3. Step 3: Cross multiply
    1,107.30x = 1,658.50 × 740.36
  4. Step 4: Simplify right side
    1,107.30x = 1,227,887.06
  5. Step 5: Solve for x
    x = 1,227,887.06/1,107.30
  6. Step 6: Final answer
    x = 1,108.90

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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.