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Finding the Fourth Proportional to 665.54, 916.95 and 525.61

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Solution

The fourth proportional to 665.54, 916.95 and 525.61 is: 724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.54 : 916.95 = 525.61 : x
  2. Step 2: Convert to fraction form
    665.54/916.95 = 525.61/x
  3. Step 3: Cross multiply
    665.54x = 916.95 × 525.61
  4. Step 4: Simplify right side
    665.54x = 481,959.35
  5. Step 5: Solve for x
    x = 481,959.35/665.54
  6. Step 6: Final answer
    x = 724.16

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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.