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Finding the Fourth Proportional to 741.33, 1,025.91 and 595.53

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Solution

The fourth proportional to 741.33, 1,025.91 and 595.53 is: 824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.33 : 1,025.91 = 595.53 : x
  2. Step 2: Convert to fraction form
    741.33/1,025.91 = 595.53/x
  3. Step 3: Cross multiply
    741.33x = 1,025.91 × 595.53
  4. Step 4: Simplify right side
    741.33x = 610,960.18
  5. Step 5: Solve for x
    x = 610,960.18/741.33
  6. Step 6: Final answer
    x = 824.14

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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.