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Finding the Fourth Proportional to 898.02, 1,348.65 and 693.09

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Solution

The fourth proportional to 898.02, 1,348.65 and 693.09 is: 1,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.02 : 1,348.65 = 693.09 : x
  2. Step 2: Convert to fraction form
    898.02/1,348.65 = 693.09/x
  3. Step 3: Cross multiply
    898.02x = 1,348.65 × 693.09
  4. Step 4: Simplify right side
    898.02x = 934,735.83
  5. Step 5: Solve for x
    x = 934,735.83/898.02
  6. Step 6: Final answer
    x = 1,040.89

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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.