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Finding the Fourth Proportional to 1,247.33, 1,870.93 and 381.64

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Solution

The fourth proportional to 1,247.33, 1,870.93 and 381.64 is: 572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.33 : 1,870.93 = 381.64 : x
  2. Step 2: Convert to fraction form
    1,247.33/1,870.93 = 381.64/x
  3. Step 3: Cross multiply
    1,247.33x = 1,870.93 × 381.64
  4. Step 4: Simplify right side
    1,247.33x = 714,025.45
  5. Step 5: Solve for x
    x = 714,025.45/1,247.33
  6. Step 6: Final answer
    x = 572.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.