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Finding the Fourth Proportional to 1,071.76, 1,479.16 and 606

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Solution

The fourth proportional to 1,071.76, 1,479.16 and 606 is: 836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.76 : 1,479.16 = 606 : x
  2. Step 2: Convert to fraction form
    1,071.76/1,479.16 = 606/x
  3. Step 3: Cross multiply
    1,071.76x = 1,479.16 × 606
  4. Step 4: Simplify right side
    1,071.76x = 896,370.96
  5. Step 5: Solve for x
    x = 896,370.96/1,071.76
  6. Step 6: Final answer
    x = 836.35

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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.