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Finding the Fourth Proportional to 916.58, 1,264.66 and 518.25

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Solution

The fourth proportional to 916.58, 1,264.66 and 518.25 is: 715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.58 : 1,264.66 = 518.25 : x
  2. Step 2: Convert to fraction form
    916.58/1,264.66 = 518.25/x
  3. Step 3: Cross multiply
    916.58x = 1,264.66 × 518.25
  4. Step 4: Simplify right side
    916.58x = 655,403.04
  5. Step 5: Solve for x
    x = 655,403.04/916.58
  6. Step 6: Final answer
    x = 715.06

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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.