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Finding the Fourth Proportional to 676.83, 1,014.57 and 583.91

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Solution

The fourth proportional to 676.83, 1,014.57 and 583.91 is: 875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.83 : 1,014.57 = 583.91 : x
  2. Step 2: Convert to fraction form
    676.83/1,014.57 = 583.91/x
  3. Step 3: Cross multiply
    676.83x = 1,014.57 × 583.91
  4. Step 4: Simplify right side
    676.83x = 592,417.57
  5. Step 5: Solve for x
    x = 592,417.57/676.83
  6. Step 6: Final answer
    x = 875.28

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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.