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Finding the Fourth Proportional to 872.58, 1,307.88 and 462.18

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Solution

The fourth proportional to 872.58, 1,307.88 and 462.18 is: 692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.58 : 1,307.88 = 462.18 : x
  2. Step 2: Convert to fraction form
    872.58/1,307.88 = 462.18/x
  3. Step 3: Cross multiply
    872.58x = 1,307.88 × 462.18
  4. Step 4: Simplify right side
    872.58x = 604,475.98
  5. Step 5: Solve for x
    x = 604,475.98/872.58
  6. Step 6: Final answer
    x = 692.75

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Why These Related Problems?

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