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Finding the Fourth Proportional to 870.10, 1,304.64 and 596.52

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Solution

The fourth proportional to 870.10, 1,304.64 and 596.52 is: 894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.10 : 1,304.64 = 596.52 : x
  2. Step 2: Convert to fraction form
    870.10/1,304.64 = 596.52/x
  3. Step 3: Cross multiply
    870.10x = 1,304.64 × 596.52
  4. Step 4: Simplify right side
    870.10x = 778,243.85
  5. Step 5: Solve for x
    x = 778,243.85/870.10
  6. Step 6: Final answer
    x = 894.43

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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.