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Finding the Fourth Proportional to 876.91, 1,210.28 and 666.75

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Solution

The fourth proportional to 876.91, 1,210.28 and 666.75 is: 920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.91 : 1,210.28 = 666.75 : x
  2. Step 2: Convert to fraction form
    876.91/1,210.28 = 666.75/x
  3. Step 3: Cross multiply
    876.91x = 1,210.28 × 666.75
  4. Step 4: Simplify right side
    876.91x = 806,948.59
  5. Step 5: Solve for x
    x = 806,948.59/876.91
  6. Step 6: Final answer
    x = 920.22

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