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Finding the Fourth Proportional to 1,398.84, 2,098.57 and 533.16

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Solution

The fourth proportional to 1,398.84, 2,098.57 and 533.16 is: 799.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.84 : 2,098.57 = 533.16 : x
  2. Step 2: Convert to fraction form
    1,398.84/2,098.57 = 533.16/x
  3. Step 3: Cross multiply
    1,398.84x = 2,098.57 × 533.16
  4. Step 4: Simplify right side
    1,398.84x = 1,118,866.38
  5. Step 5: Solve for x
    x = 1,118,866.38/1,398.84
  6. Step 6: Final answer
    x = 799.85

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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.