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Finding the Fourth Proportional to 1,197.11, 1,652.03 and 658.77

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Solution

The fourth proportional to 1,197.11, 1,652.03 and 658.77 is: 909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.11 : 1,652.03 = 658.77 : x
  2. Step 2: Convert to fraction form
    1,197.11/1,652.03 = 658.77/x
  3. Step 3: Cross multiply
    1,197.11x = 1,652.03 × 658.77
  4. Step 4: Simplify right side
    1,197.11x = 1,088,307.80
  5. Step 5: Solve for x
    x = 1,088,307.80/1,197.11
  6. Step 6: Final answer
    x = 909.11

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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.