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Finding the Fourth Proportional to 1,468.65, 2,204.28 and 689.07

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Solution

The fourth proportional to 1,468.65, 2,204.28 and 689.07 is: 1,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.65 : 2,204.28 = 689.07 : x
  2. Step 2: Convert to fraction form
    1,468.65/2,204.28 = 689.07/x
  3. Step 3: Cross multiply
    1,468.65x = 2,204.28 × 689.07
  4. Step 4: Simplify right side
    1,468.65x = 1,518,903.22
  5. Step 5: Solve for x
    x = 1,518,903.22/1,468.65
  6. Step 6: Final answer
    x = 1,034.22

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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.