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Finding the Fourth Proportional to 1,105.48, 1,525.52 and 663.40

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Solution

The fourth proportional to 1,105.48, 1,525.52 and 663.40 is: 915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.48 : 1,525.52 = 663.40 : x
  2. Step 2: Convert to fraction form
    1,105.48/1,525.52 = 663.40/x
  3. Step 3: Cross multiply
    1,105.48x = 1,525.52 × 663.40
  4. Step 4: Simplify right side
    1,105.48x = 1,012,029.97
  5. Step 5: Solve for x
    x = 1,012,029.97/1,105.48
  6. Step 6: Final answer
    x = 915.47

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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.