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Finding the Fourth Proportional to 898.05, 1,349.12 and 652.02

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Solution

The fourth proportional to 898.05, 1,349.12 and 652.02 is: 979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.05 : 1,349.12 = 652.02 : x
  2. Step 2: Convert to fraction form
    898.05/1,349.12 = 652.02/x
  3. Step 3: Cross multiply
    898.05x = 1,349.12 × 652.02
  4. Step 4: Simplify right side
    898.05x = 879,649.79
  5. Step 5: Solve for x
    x = 879,649.79/898.05
  6. Step 6: Final answer
    x = 979.51

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Why These Related Problems?

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