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Finding the Fourth Proportional to 1,411.34, 2,115.62 and 533.60

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Solution

The fourth proportional to 1,411.34, 2,115.62 and 533.60 is: 799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.34 : 2,115.62 = 533.60 : x
  2. Step 2: Convert to fraction form
    1,411.34/2,115.62 = 533.60/x
  3. Step 3: Cross multiply
    1,411.34x = 2,115.62 × 533.60
  4. Step 4: Simplify right side
    1,411.34x = 1,128,894.83
  5. Step 5: Solve for x
    x = 1,128,894.83/1,411.34
  6. Step 6: Final answer
    x = 799.87

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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.