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Finding the Fourth Proportional to 870.14, 1,305.23 and 285.14

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Solution

The fourth proportional to 870.14, 1,305.23 and 285.14 is: 427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.14 : 1,305.23 = 285.14 : x
  2. Step 2: Convert to fraction form
    870.14/1,305.23 = 285.14/x
  3. Step 3: Cross multiply
    870.14x = 1,305.23 × 285.14
  4. Step 4: Simplify right side
    870.14x = 372,173.28
  5. Step 5: Solve for x
    x = 372,173.28/870.14
  6. Step 6: Final answer
    x = 427.72

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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.