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Finding the Fourth Proportional to 876.06, 1,209.50 and 666.24

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Solution

The fourth proportional to 876.06, 1,209.50 and 666.24 is: 919.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.06 : 1,209.50 = 666.24 : x
  2. Step 2: Convert to fraction form
    876.06/1,209.50 = 666.24/x
  3. Step 3: Cross multiply
    876.06x = 1,209.50 × 666.24
  4. Step 4: Simplify right side
    876.06x = 805,817.28
  5. Step 5: Solve for x
    x = 805,817.28/876.06
  6. Step 6: Final answer
    x = 919.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.