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Finding the Fourth Proportional to 767.01, 1,058.55 and 468.24

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Solution

The fourth proportional to 767.01, 1,058.55 and 468.24 is: 646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.01 : 1,058.55 = 468.24 : x
  2. Step 2: Convert to fraction form
    767.01/1,058.55 = 468.24/x
  3. Step 3: Cross multiply
    767.01x = 1,058.55 × 468.24
  4. Step 4: Simplify right side
    767.01x = 495,655.45
  5. Step 5: Solve for x
    x = 495,655.45/767.01
  6. Step 6: Final answer
    x = 646.22

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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.