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Finding the Fourth Proportional to 1,486.76, 2,230.14 and 706.78

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Solution

The fourth proportional to 1,486.76, 2,230.14 and 706.78 is: 1,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.76 : 2,230.14 = 706.78 : x
  2. Step 2: Convert to fraction form
    1,486.76/2,230.14 = 706.78/x
  3. Step 3: Cross multiply
    1,486.76x = 2,230.14 × 706.78
  4. Step 4: Simplify right side
    1,486.76x = 1,576,207.20
  5. Step 5: Solve for x
    x = 1,576,207.20/1,486.76
  6. Step 6: Final answer
    x = 1,060.16

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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.