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Finding the Fourth Proportional to 916.16, 1,264.32 and 543.14

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Solution

The fourth proportional to 916.16, 1,264.32 and 543.14 is: 749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.16 : 1,264.32 = 543.14 : x
  2. Step 2: Convert to fraction form
    916.16/1,264.32 = 543.14/x
  3. Step 3: Cross multiply
    916.16x = 1,264.32 × 543.14
  4. Step 4: Simplify right side
    916.16x = 686,696.44
  5. Step 5: Solve for x
    x = 686,696.44/916.16
  6. Step 6: Final answer
    x = 749.54

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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.