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Finding the Fourth Proportional to 1,405.59, 2,108.67 and 712.65

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Solution

The fourth proportional to 1,405.59, 2,108.67 and 712.65 is: 1,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.59 : 2,108.67 = 712.65 : x
  2. Step 2: Convert to fraction form
    1,405.59/2,108.67 = 712.65/x
  3. Step 3: Cross multiply
    1,405.59x = 2,108.67 × 712.65
  4. Step 4: Simplify right side
    1,405.59x = 1,502,743.68
  5. Step 5: Solve for x
    x = 1,502,743.68/1,405.59
  6. Step 6: Final answer
    x = 1,069.12

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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.