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Finding the Fourth Proportional to 870.03, 1,305.05 and 285.02

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Solution

The fourth proportional to 870.03, 1,305.05 and 285.02 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.03 : 1,305.05 = 285.02 : x
  2. Step 2: Convert to fraction form
    870.03/1,305.05 = 285.02/x
  3. Step 3: Cross multiply
    870.03x = 1,305.05 × 285.02
  4. Step 4: Simplify right side
    870.03x = 371,960.66
  5. Step 5: Solve for x
    x = 371,960.66/870.03
  6. Step 6: Final answer
    x = 427.53

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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.