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Finding the Fourth Proportional to 750.99, 1,036.14 and 593.64

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Solution

The fourth proportional to 750.99, 1,036.14 and 593.64 is: 819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.99 : 1,036.14 = 593.64 : x
  2. Step 2: Convert to fraction form
    750.99/1,036.14 = 593.64/x
  3. Step 3: Cross multiply
    750.99x = 1,036.14 × 593.64
  4. Step 4: Simplify right side
    750.99x = 615,094.15
  5. Step 5: Solve for x
    x = 615,094.15/750.99
  6. Step 6: Final answer
    x = 819.04

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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.