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Finding the Fourth Proportional to 830.13, 1,146.06 and 498.66

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Solution

The fourth proportional to 830.13, 1,146.06 and 498.66 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.13 : 1,146.06 = 498.66 : x
  2. Step 2: Convert to fraction form
    830.13/1,146.06 = 498.66/x
  3. Step 3: Cross multiply
    830.13x = 1,146.06 × 498.66
  4. Step 4: Simplify right side
    830.13x = 571,494.28
  5. Step 5: Solve for x
    x = 571,494.28/830.13
  6. Step 6: Final answer
    x = 688.44

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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.