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Finding the Fourth Proportional to 1,355.32, 2,034.06 and 533.80

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Solution

The fourth proportional to 1,355.32, 2,034.06 and 533.80 is: 801.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.32 : 2,034.06 = 533.80 : x
  2. Step 2: Convert to fraction form
    1,355.32/2,034.06 = 533.80/x
  3. Step 3: Cross multiply
    1,355.32x = 2,034.06 × 533.80
  4. Step 4: Simplify right side
    1,355.32x = 1,085,781.23
  5. Step 5: Solve for x
    x = 1,085,781.23/1,355.32
  6. Step 6: Final answer
    x = 801.13

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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.