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Finding the Fourth Proportional to 1,494.30, 2,238.44 and 715.06

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Solution

The fourth proportional to 1,494.30, 2,238.44 and 715.06 is: 1,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.30 : 2,238.44 = 715.06 : x
  2. Step 2: Convert to fraction form
    1,494.30/2,238.44 = 715.06/x
  3. Step 3: Cross multiply
    1,494.30x = 2,238.44 × 715.06
  4. Step 4: Simplify right side
    1,494.30x = 1,600,618.91
  5. Step 5: Solve for x
    x = 1,600,618.91/1,494.30
  6. Step 6: Final answer
    x = 1,071.15

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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.