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Finding the Fourth Proportional to 916.56, 1,264.49 and 543.40

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Solution

The fourth proportional to 916.56, 1,264.49 and 543.40 is: 749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.56 : 1,264.49 = 543.40 : x
  2. Step 2: Convert to fraction form
    916.56/1,264.49 = 543.40/x
  3. Step 3: Cross multiply
    916.56x = 1,264.49 × 543.40
  4. Step 4: Simplify right side
    916.56x = 687,123.87
  5. Step 5: Solve for x
    x = 687,123.87/916.56
  6. Step 6: Final answer
    x = 749.68

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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.