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Finding the Fourth Proportional to 1,123.01, 1,549.74 and 618.86

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Solution

The fourth proportional to 1,123.01, 1,549.74 and 618.86 is: 854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.01 : 1,549.74 = 618.86 : x
  2. Step 2: Convert to fraction form
    1,123.01/1,549.74 = 618.86/x
  3. Step 3: Cross multiply
    1,123.01x = 1,549.74 × 618.86
  4. Step 4: Simplify right side
    1,123.01x = 959,064.35
  5. Step 5: Solve for x
    x = 959,064.35/1,123.01
  6. Step 6: Final answer
    x = 854.02

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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.