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Finding the Fourth Proportional to 1,090.97, 1,505.55 and 593.62

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Solution

The fourth proportional to 1,090.97, 1,505.55 and 593.62 is: 819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.97 : 1,505.55 = 593.62 : x
  2. Step 2: Convert to fraction form
    1,090.97/1,505.55 = 593.62/x
  3. Step 3: Cross multiply
    1,090.97x = 1,505.55 × 593.62
  4. Step 4: Simplify right side
    1,090.97x = 893,724.59
  5. Step 5: Solve for x
    x = 893,724.59/1,090.97
  6. Step 6: Final answer
    x = 819.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.