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Finding the Fourth Proportional to 767.16, 1,058.68 and 417.86

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Solution

The fourth proportional to 767.16, 1,058.68 and 417.86 is: 576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.16 : 1,058.68 = 417.86 : x
  2. Step 2: Convert to fraction form
    767.16/1,058.68 = 417.86/x
  3. Step 3: Cross multiply
    767.16x = 1,058.68 × 417.86
  4. Step 4: Simplify right side
    767.16x = 442,380.02
  5. Step 5: Solve for x
    x = 442,380.02/767.16
  6. Step 6: Final answer
    x = 576.65

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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.