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Finding the Fourth Proportional to 648.74, 971.29 and 583.13

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Solution

The fourth proportional to 648.74, 971.29 and 583.13 is: 873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.74 : 971.29 = 583.13 : x
  2. Step 2: Convert to fraction form
    648.74/971.29 = 583.13/x
  3. Step 3: Cross multiply
    648.74x = 971.29 × 583.13
  4. Step 4: Simplify right side
    648.74x = 566,385.42
  5. Step 5: Solve for x
    x = 566,385.42/648.74
  6. Step 6: Final answer
    x = 873.05

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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.