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Finding the Fourth Proportional to 870.97, 1,305.74 and 596.38

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Solution

The fourth proportional to 870.97, 1,305.74 and 596.38 is: 894.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.97 : 1,305.74 = 596.38 : x
  2. Step 2: Convert to fraction form
    870.97/1,305.74 = 596.38/x
  3. Step 3: Cross multiply
    870.97x = 1,305.74 × 596.38
  4. Step 4: Simplify right side
    870.97x = 778,714.24
  5. Step 5: Solve for x
    x = 778,714.24/870.97
  6. Step 6: Final answer
    x = 894.08

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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.