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Finding the Fourth Proportional to 1,071.87, 1,597.20 and 962.85

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Solution

The fourth proportional to 1,071.87, 1,597.20 and 962.85 is: 1,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.87 : 1,597.20 = 962.85 : x
  2. Step 2: Convert to fraction form
    1,071.87/1,597.20 = 962.85/x
  3. Step 3: Cross multiply
    1,071.87x = 1,597.20 × 962.85
  4. Step 4: Simplify right side
    1,071.87x = 1,537,864.02
  5. Step 5: Solve for x
    x = 1,537,864.02/1,071.87
  6. Step 6: Final answer
    x = 1,434.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.