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Finding the Fourth Proportional to 894.19, 1,342.45 and 688.90

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Solution

The fourth proportional to 894.19, 1,342.45 and 688.90 is: 1,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.19 : 1,342.45 = 688.90 : x
  2. Step 2: Convert to fraction form
    894.19/1,342.45 = 688.90/x
  3. Step 3: Cross multiply
    894.19x = 1,342.45 × 688.90
  4. Step 4: Simplify right side
    894.19x = 924,813.81
  5. Step 5: Solve for x
    x = 924,813.81/894.19
  6. Step 6: Final answer
    x = 1,034.25

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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.