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Finding the Fourth Proportional to 830.68, 1,146.35 and 499.14

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Solution

The fourth proportional to 830.68, 1,146.35 and 499.14 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.68 : 1,146.35 = 499.14 : x
  2. Step 2: Convert to fraction form
    830.68/1,146.35 = 499.14/x
  3. Step 3: Cross multiply
    830.68x = 1,146.35 × 499.14
  4. Step 4: Simplify right side
    830.68x = 572,189.14
  5. Step 5: Solve for x
    x = 572,189.14/830.68
  6. Step 6: Final answer
    x = 688.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.