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Finding the Fourth Proportional to 1,090.93, 1,505.46 and 593.58

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Solution

The fourth proportional to 1,090.93, 1,505.46 and 593.58 is: 819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.93 : 1,505.46 = 593.58 : x
  2. Step 2: Convert to fraction form
    1,090.93/1,505.46 = 593.58/x
  3. Step 3: Cross multiply
    1,090.93x = 1,505.46 × 593.58
  4. Step 4: Simplify right side
    1,090.93x = 893,606.18
  5. Step 5: Solve for x
    x = 893,606.18/1,090.93
  6. Step 6: Final answer
    x = 819.13

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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.