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Finding the Fourth Proportional to 870.90, 1,305 and 562.50

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Solution

The fourth proportional to 870.90, 1,305 and 562.50 is: 842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.90 : 1,305 = 562.50 : x
  2. Step 2: Convert to fraction form
    870.90/1,305 = 562.50/x
  3. Step 3: Cross multiply
    870.90x = 1,305 × 562.50
  4. Step 4: Simplify right side
    870.90x = 734,062.50
  5. Step 5: Solve for x
    x = 734,062.50/870.90
  6. Step 6: Final answer
    x = 842.88

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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.