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Finding the Fourth Proportional to 916.35, 1,264.89 and 543.45

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Solution

The fourth proportional to 916.35, 1,264.89 and 543.45 is: 750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.35 : 1,264.89 = 543.45 : x
  2. Step 2: Convert to fraction form
    916.35/1,264.89 = 543.45/x
  3. Step 3: Cross multiply
    916.35x = 1,264.89 × 543.45
  4. Step 4: Simplify right side
    916.35x = 687,411.25
  5. Step 5: Solve for x
    x = 687,411.25/916.35
  6. Step 6: Final answer
    x = 750.17

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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.