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Finding the Fourth Proportional to 876.02, 1,314.93 and 645.17

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Solution

The fourth proportional to 876.02, 1,314.93 and 645.17 is: 968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.02 : 1,314.93 = 645.17 : x
  2. Step 2: Convert to fraction form
    876.02/1,314.93 = 645.17/x
  3. Step 3: Cross multiply
    876.02x = 1,314.93 × 645.17
  4. Step 4: Simplify right side
    876.02x = 848,349.23
  5. Step 5: Solve for x
    x = 848,349.23/876.02
  6. Step 6: Final answer
    x = 968.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.