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Finding the Fourth Proportional to 916.84, 1,264.64 and 543.54

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Solution

The fourth proportional to 916.84, 1,264.64 and 543.54 is: 749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.84 : 1,264.64 = 543.54 : x
  2. Step 2: Convert to fraction form
    916.84/1,264.64 = 543.54/x
  3. Step 3: Cross multiply
    916.84x = 1,264.64 × 543.54
  4. Step 4: Simplify right side
    916.84x = 687,382.43
  5. Step 5: Solve for x
    x = 687,382.43/916.84
  6. Step 6: Final answer
    x = 749.73

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