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Finding the Fourth Proportional to 1,188.29, 1,639.80 and 690.85

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Solution

The fourth proportional to 1,188.29, 1,639.80 and 690.85 is: 953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.29 : 1,639.80 = 690.85 : x
  2. Step 2: Convert to fraction form
    1,188.29/1,639.80 = 690.85/x
  3. Step 3: Cross multiply
    1,188.29x = 1,639.80 × 690.85
  4. Step 4: Simplify right side
    1,188.29x = 1,132,855.83
  5. Step 5: Solve for x
    x = 1,132,855.83/1,188.29
  6. Step 6: Final answer
    x = 953.35

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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.