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Finding the Fourth Proportional to 830.49, 1,146.54 and 499

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Solution

The fourth proportional to 830.49, 1,146.54 and 499 is: 688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.49 : 1,146.54 = 499 : x
  2. Step 2: Convert to fraction form
    830.49/1,146.54 = 499/x
  3. Step 3: Cross multiply
    830.49x = 1,146.54 × 499
  4. Step 4: Simplify right side
    830.49x = 572,123.46
  5. Step 5: Solve for x
    x = 572,123.46/830.49
  6. Step 6: Final answer
    x = 688.90

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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.