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Finding the Fourth Proportional to 1,071.80, 1,478.04 and 698.88

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Solution

The fourth proportional to 1,071.80, 1,478.04 and 698.88 is: 963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.80 : 1,478.04 = 698.88 : x
  2. Step 2: Convert to fraction form
    1,071.80/1,478.04 = 698.88/x
  3. Step 3: Cross multiply
    1,071.80x = 1,478.04 × 698.88
  4. Step 4: Simplify right side
    1,071.80x = 1,032,972.60
  5. Step 5: Solve for x
    x = 1,032,972.60/1,071.80
  6. Step 6: Final answer
    x = 963.77

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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.