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Finding the Fourth Proportional to 830.86, 1,146.21 and 498.72

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Solution

The fourth proportional to 830.86, 1,146.21 and 498.72 is: 688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.86 : 1,146.21 = 498.72 : x
  2. Step 2: Convert to fraction form
    830.86/1,146.21 = 498.72/x
  3. Step 3: Cross multiply
    830.86x = 1,146.21 × 498.72
  4. Step 4: Simplify right side
    830.86x = 571,637.85
  5. Step 5: Solve for x
    x = 571,637.85/830.86
  6. Step 6: Final answer
    x = 688.01

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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.