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Finding the Fourth Proportional to 1,182.57, 1,632.05 and 658.70

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Solution

The fourth proportional to 1,182.57, 1,632.05 and 658.70 is: 909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.57 : 1,632.05 = 658.70 : x
  2. Step 2: Convert to fraction form
    1,182.57/1,632.05 = 658.70/x
  3. Step 3: Cross multiply
    1,182.57x = 1,632.05 × 658.70
  4. Step 4: Simplify right side
    1,182.57x = 1,075,019.88
  5. Step 5: Solve for x
    x = 1,075,019.88/1,182.57
  6. Step 6: Final answer
    x = 909.05

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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.