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Finding the Fourth Proportional to 712.52, 1,069.32 and 584

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Solution

The fourth proportional to 712.52, 1,069.32 and 584 is: 876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.52 : 1,069.32 = 584 : x
  2. Step 2: Convert to fraction form
    712.52/1,069.32 = 584/x
  3. Step 3: Cross multiply
    712.52x = 1,069.32 × 584
  4. Step 4: Simplify right side
    712.52x = 624,482.88
  5. Step 5: Solve for x
    x = 624,482.88/712.52
  6. Step 6: Final answer
    x = 876.44

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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.