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Finding the Fourth Proportional to 767.19, 1,058.72 and 417.88

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Solution

The fourth proportional to 767.19, 1,058.72 and 417.88 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.19 : 1,058.72 = 417.88 : x
  2. Step 2: Convert to fraction form
    767.19/1,058.72 = 417.88/x
  3. Step 3: Cross multiply
    767.19x = 1,058.72 × 417.88
  4. Step 4: Simplify right side
    767.19x = 442,412.62
  5. Step 5: Solve for x
    x = 442,412.62/767.19
  6. Step 6: Final answer
    x = 576.67

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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.