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Finding the Fourth Proportional to 781.16, 1,078.00 and 427.08

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Solution

The fourth proportional to 781.16, 1,078.00 and 427.08 is: 589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.16 : 1,078.00 = 427.08 : x
  2. Step 2: Convert to fraction form
    781.16/1,078.00 = 427.08/x
  3. Step 3: Cross multiply
    781.16x = 1,078.00 × 427.08
  4. Step 4: Simplify right side
    781.16x = 460,391.17
  5. Step 5: Solve for x
    x = 460,391.17/781.16
  6. Step 6: Final answer
    x = 589.37

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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.