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Finding the Fourth Proportional to 870.34, 1,305.66 and 459.82

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Solution

The fourth proportional to 870.34, 1,305.66 and 459.82 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.34 : 1,305.66 = 459.82 : x
  2. Step 2: Convert to fraction form
    870.34/1,305.66 = 459.82/x
  3. Step 3: Cross multiply
    870.34x = 1,305.66 × 459.82
  4. Step 4: Simplify right side
    870.34x = 600,368.58
  5. Step 5: Solve for x
    x = 600,368.58/870.34
  6. Step 6: Final answer
    x = 689.81

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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.