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Finding the Fourth Proportional to 830.71, 1,146.33 and 498.97

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Solution

The fourth proportional to 830.71, 1,146.33 and 498.97 is: 688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.71 : 1,146.33 = 498.97 : x
  2. Step 2: Convert to fraction form
    830.71/1,146.33 = 498.97/x
  3. Step 3: Cross multiply
    830.71x = 1,146.33 × 498.97
  4. Step 4: Simplify right side
    830.71x = 571,984.28
  5. Step 5: Solve for x
    x = 571,984.28/830.71
  6. Step 6: Final answer
    x = 688.55

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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.