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Finding the Fourth Proportional to 870.68, 1,305.58 and 460.04

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Solution

The fourth proportional to 870.68, 1,305.58 and 460.04 is: 689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.68 : 1,305.58 = 460.04 : x
  2. Step 2: Convert to fraction form
    870.68/1,305.58 = 460.04/x
  3. Step 3: Cross multiply
    870.68x = 1,305.58 × 460.04
  4. Step 4: Simplify right side
    870.68x = 600,619.02
  5. Step 5: Solve for x
    x = 600,619.02/870.68
  6. Step 6: Final answer
    x = 689.83

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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.