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Finding the Fourth Proportional to 1,118.79, 1,543.95 and 676.71

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Solution

The fourth proportional to 1,118.79, 1,543.95 and 676.71 is: 933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.79 : 1,543.95 = 676.71 : x
  2. Step 2: Convert to fraction form
    1,118.79/1,543.95 = 676.71/x
  3. Step 3: Cross multiply
    1,118.79x = 1,543.95 × 676.71
  4. Step 4: Simplify right side
    1,118.79x = 1,044,806.40
  5. Step 5: Solve for x
    x = 1,044,806.40/1,118.79
  6. Step 6: Final answer
    x = 933.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.