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Finding the Fourth Proportional to 916.39, 1,264.37 and 543.06

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Solution

The fourth proportional to 916.39, 1,264.37 and 543.06 is: 749.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.39 : 1,264.37 = 543.06 : x
  2. Step 2: Convert to fraction form
    916.39/1,264.37 = 543.06/x
  3. Step 3: Cross multiply
    916.39x = 1,264.37 × 543.06
  4. Step 4: Simplify right side
    916.39x = 686,630.13
  5. Step 5: Solve for x
    x = 686,630.13/916.39
  6. Step 6: Final answer
    x = 749.28

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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.