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Finding the Fourth Proportional to 1,113.66, 1,537.23 and 648.30

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Solution

The fourth proportional to 1,113.66, 1,537.23 and 648.30 is: 894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.66 : 1,537.23 = 648.30 : x
  2. Step 2: Convert to fraction form
    1,113.66/1,537.23 = 648.30/x
  3. Step 3: Cross multiply
    1,113.66x = 1,537.23 × 648.30
  4. Step 4: Simplify right side
    1,113.66x = 996,586.21
  5. Step 5: Solve for x
    x = 996,586.21/1,113.66
  6. Step 6: Final answer
    x = 894.87

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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.