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Finding the Fourth Proportional to 1,071.98, 1,479.26 and 630.12

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Solution

The fourth proportional to 1,071.98, 1,479.26 and 630.12 is: 869.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.98 : 1,479.26 = 630.12 : x
  2. Step 2: Convert to fraction form
    1,071.98/1,479.26 = 630.12/x
  3. Step 3: Cross multiply
    1,071.98x = 1,479.26 × 630.12
  4. Step 4: Simplify right side
    1,071.98x = 932,111.31
  5. Step 5: Solve for x
    x = 932,111.31/1,071.98
  6. Step 6: Final answer
    x = 869.52

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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.