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Finding the Fourth Proportional to 815.59, 1,127.01 and 594.16

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Solution

The fourth proportional to 815.59, 1,127.01 and 594.16 is: 821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.59 : 1,127.01 = 594.16 : x
  2. Step 2: Convert to fraction form
    815.59/1,127.01 = 594.16/x
  3. Step 3: Cross multiply
    815.59x = 1,127.01 × 594.16
  4. Step 4: Simplify right side
    815.59x = 669,624.26
  5. Step 5: Solve for x
    x = 669,624.26/815.59
  6. Step 6: Final answer
    x = 821.03

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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.