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Finding the Fourth Proportional to 1,122.15, 1,548.57 and 624.81

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Solution

The fourth proportional to 1,122.15, 1,548.57 and 624.81 is: 862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.15 : 1,548.57 = 624.81 : x
  2. Step 2: Convert to fraction form
    1,122.15/1,548.57 = 624.81/x
  3. Step 3: Cross multiply
    1,122.15x = 1,548.57 × 624.81
  4. Step 4: Simplify right side
    1,122.15x = 967,562.02
  5. Step 5: Solve for x
    x = 967,562.02/1,122.15
  6. Step 6: Final answer
    x = 862.24

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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.