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Finding the Fourth Proportional to 1,090.94, 1,505.49 and 593.57

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Solution

The fourth proportional to 1,090.94, 1,505.49 and 593.57 is: 819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.94 : 1,505.49 = 593.57 : x
  2. Step 2: Convert to fraction form
    1,090.94/1,505.49 = 593.57/x
  3. Step 3: Cross multiply
    1,090.94x = 1,505.49 × 593.57
  4. Step 4: Simplify right side
    1,090.94x = 893,613.70
  5. Step 5: Solve for x
    x = 893,613.70/1,090.94
  6. Step 6: Final answer
    x = 819.12

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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.