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Finding the Fourth Proportional to 898.17, 1,348.28 and 533.07

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Solution

The fourth proportional to 898.17, 1,348.28 and 533.07 is: 800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.17 : 1,348.28 = 533.07 : x
  2. Step 2: Convert to fraction form
    898.17/1,348.28 = 533.07/x
  3. Step 3: Cross multiply
    898.17x = 1,348.28 × 533.07
  4. Step 4: Simplify right side
    898.17x = 718,724.95
  5. Step 5: Solve for x
    x = 718,724.95/898.17
  6. Step 6: Final answer
    x = 800.21

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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.