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Finding the Fourth Proportional to 870.44, 1,304.75 and 407.84

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Solution

The fourth proportional to 870.44, 1,304.75 and 407.84 is: 611.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.44 : 1,304.75 = 407.84 : x
  2. Step 2: Convert to fraction form
    870.44/1,304.75 = 407.84/x
  3. Step 3: Cross multiply
    870.44x = 1,304.75 × 407.84
  4. Step 4: Simplify right side
    870.44x = 532,129.24
  5. Step 5: Solve for x
    x = 532,129.24/870.44
  6. Step 6: Final answer
    x = 611.33

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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.