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Finding the Fourth Proportional to 767.16, 1,058.67 and 417.84

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Solution

The fourth proportional to 767.16, 1,058.67 and 417.84 is: 576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.16 : 1,058.67 = 417.84 : x
  2. Step 2: Convert to fraction form
    767.16/1,058.67 = 417.84/x
  3. Step 3: Cross multiply
    767.16x = 1,058.67 × 417.84
  4. Step 4: Simplify right side
    767.16x = 442,354.67
  5. Step 5: Solve for x
    x = 442,354.67/767.16
  6. Step 6: Final answer
    x = 576.61

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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.