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Finding the Fourth Proportional to 1,118.74, 1,676.88 and 501.78

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Solution

The fourth proportional to 1,118.74, 1,676.88 and 501.78 is: 752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.74 : 1,676.88 = 501.78 : x
  2. Step 2: Convert to fraction form
    1,118.74/1,676.88 = 501.78/x
  3. Step 3: Cross multiply
    1,118.74x = 1,676.88 × 501.78
  4. Step 4: Simplify right side
    1,118.74x = 841,424.85
  5. Step 5: Solve for x
    x = 841,424.85/1,118.74
  6. Step 6: Final answer
    x = 752.12

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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.