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Finding the Fourth Proportional to 1,487.88, 2,230.56 and 707.49

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Solution

The fourth proportional to 1,487.88, 2,230.56 and 707.49 is: 1,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.88 : 2,230.56 = 707.49 : x
  2. Step 2: Convert to fraction form
    1,487.88/2,230.56 = 707.49/x
  3. Step 3: Cross multiply
    1,487.88x = 2,230.56 × 707.49
  4. Step 4: Simplify right side
    1,487.88x = 1,578,098.89
  5. Step 5: Solve for x
    x = 1,578,098.89/1,487.88
  6. Step 6: Final answer
    x = 1,060.64

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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.