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Finding the Fourth Proportional to 583.08, 876.45 and 581.27

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Solution

The fourth proportional to 583.08, 876.45 and 581.27 is: 873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.08 : 876.45 = 581.27 : x
  2. Step 2: Convert to fraction form
    583.08/876.45 = 581.27/x
  3. Step 3: Cross multiply
    583.08x = 876.45 × 581.27
  4. Step 4: Simplify right side
    583.08x = 509,449.71
  5. Step 5: Solve for x
    x = 509,449.71/583.08
  6. Step 6: Final answer
    x = 873.72

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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.