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Finding the Fourth Proportional to 870.26, 1,304.36 and 459.19

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Solution

The fourth proportional to 870.26, 1,304.36 and 459.19 is: 688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.26 : 1,304.36 = 459.19 : x
  2. Step 2: Convert to fraction form
    870.26/1,304.36 = 459.19/x
  3. Step 3: Cross multiply
    870.26x = 1,304.36 × 459.19
  4. Step 4: Simplify right side
    870.26x = 598,949.07
  5. Step 5: Solve for x
    x = 598,949.07/870.26
  6. Step 6: Final answer
    x = 688.24

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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.