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Finding the Fourth Proportional to 1,189.85, 1,641.99 and 658.77

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Solution

The fourth proportional to 1,189.85, 1,641.99 and 658.77 is: 909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.85 : 1,641.99 = 658.77 : x
  2. Step 2: Convert to fraction form
    1,189.85/1,641.99 = 658.77/x
  3. Step 3: Cross multiply
    1,189.85x = 1,641.99 × 658.77
  4. Step 4: Simplify right side
    1,189.85x = 1,081,685.54
  5. Step 5: Solve for x
    x = 1,081,685.54/1,189.85
  6. Step 6: Final answer
    x = 909.10

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1.5x scale

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.