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Finding the Fourth Proportional to 586.08, 880.20 and 513.18

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Solution

The fourth proportional to 586.08, 880.20 and 513.18 is: 770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.08 : 880.20 = 513.18 : x
  2. Step 2: Convert to fraction form
    586.08/880.20 = 513.18/x
  3. Step 3: Cross multiply
    586.08x = 880.20 × 513.18
  4. Step 4: Simplify right side
    586.08x = 451,701.04
  5. Step 5: Solve for x
    x = 451,701.04/586.08
  6. Step 6: Final answer
    x = 770.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.