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Finding the Fourth Proportional to 877.65, 1,203.31 and 862.16

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Solution

The fourth proportional to 877.65, 1,203.31 and 862.16 is: 1,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.65 : 1,203.31 = 862.16 : x
  2. Step 2: Convert to fraction form
    877.65/1,203.31 = 862.16/x
  3. Step 3: Cross multiply
    877.65x = 1,203.31 × 862.16
  4. Step 4: Simplify right side
    877.65x = 1,037,437.65
  5. Step 5: Solve for x
    x = 1,037,437.65/877.65
  6. Step 6: Final answer
    x = 1,182.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.