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Finding the Fourth Proportional to 1,182.90, 1,632.29 and 658.88

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Solution

The fourth proportional to 1,182.90, 1,632.29 and 658.88 is: 909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.90 : 1,632.29 = 658.88 : x
  2. Step 2: Convert to fraction form
    1,182.90/1,632.29 = 658.88/x
  3. Step 3: Cross multiply
    1,182.90x = 1,632.29 × 658.88
  4. Step 4: Simplify right side
    1,182.90x = 1,075,471.78
  5. Step 5: Solve for x
    x = 1,075,471.78/1,182.90
  6. Step 6: Final answer
    x = 909.18

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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.