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Finding the Fourth Proportional to 870.23, 1,304.87 and 596.63

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Solution

The fourth proportional to 870.23, 1,304.87 and 596.63 is: 894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.23 : 1,304.87 = 596.63 : x
  2. Step 2: Convert to fraction form
    870.23/1,304.87 = 596.63/x
  3. Step 3: Cross multiply
    870.23x = 1,304.87 × 596.63
  4. Step 4: Simplify right side
    870.23x = 778,515.08
  5. Step 5: Solve for x
    x = 778,515.08/870.23
  6. Step 6: Final answer
    x = 894.61

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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.