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Finding the Fourth Proportional to 1,247.19, 1,870.44 and 467.16

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Solution

The fourth proportional to 1,247.19, 1,870.44 and 467.16 is: 700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.19 : 1,870.44 = 467.16 : x
  2. Step 2: Convert to fraction form
    1,247.19/1,870.44 = 467.16/x
  3. Step 3: Cross multiply
    1,247.19x = 1,870.44 × 467.16
  4. Step 4: Simplify right side
    1,247.19x = 873,794.75
  5. Step 5: Solve for x
    x = 873,794.75/1,247.19
  6. Step 6: Final answer
    x = 700.61

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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.