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Finding the Fourth Proportional to 651.80, 978.24 and 583.76

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Solution

The fourth proportional to 651.80, 978.24 and 583.76 is: 876.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.80 : 978.24 = 583.76 : x
  2. Step 2: Convert to fraction form
    651.80/978.24 = 583.76/x
  3. Step 3: Cross multiply
    651.80x = 978.24 × 583.76
  4. Step 4: Simplify right side
    651.80x = 571,057.38
  5. Step 5: Solve for x
    x = 571,057.38/651.80
  6. Step 6: Final answer
    x = 876.12

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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.