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Finding the Fourth Proportional to 870.55, 1,303.76 and 827.48

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Solution

The fourth proportional to 870.55, 1,303.76 and 827.48 is: 1,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.55 : 1,303.76 = 827.48 : x
  2. Step 2: Convert to fraction form
    870.55/1,303.76 = 827.48/x
  3. Step 3: Cross multiply
    870.55x = 1,303.76 × 827.48
  4. Step 4: Simplify right side
    870.55x = 1,078,840.65
  5. Step 5: Solve for x
    x = 1,078,840.65/870.55
  6. Step 6: Final answer
    x = 1,239.27

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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.