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Finding the Fourth Proportional to 1,182.70, 1,632.12 and 658.72

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Solution

The fourth proportional to 1,182.70, 1,632.12 and 658.72 is: 909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.70 : 1,632.12 = 658.72 : x
  2. Step 2: Convert to fraction form
    1,182.70/1,632.12 = 658.72/x
  3. Step 3: Cross multiply
    1,182.70x = 1,632.12 × 658.72
  4. Step 4: Simplify right side
    1,182.70x = 1,075,110.09
  5. Step 5: Solve for x
    x = 1,075,110.09/1,182.70
  6. Step 6: Final answer
    x = 909.03

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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.