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Finding the Fourth Proportional to 1,106.50, 1,526.73 and 658.52

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Solution

The fourth proportional to 1,106.50, 1,526.73 and 658.52 is: 908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.50 : 1,526.73 = 658.52 : x
  2. Step 2: Convert to fraction form
    1,106.50/1,526.73 = 658.52/x
  3. Step 3: Cross multiply
    1,106.50x = 1,526.73 × 658.52
  4. Step 4: Simplify right side
    1,106.50x = 1,005,382.24
  5. Step 5: Solve for x
    x = 1,005,382.24/1,106.50
  6. Step 6: Final answer
    x = 908.61

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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.