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Finding the Fourth Proportional to 767.04, 1,058.50 and 448.07

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Solution

The fourth proportional to 767.04, 1,058.50 and 448.07 is: 618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.04 : 1,058.50 = 448.07 : x
  2. Step 2: Convert to fraction form
    767.04/1,058.50 = 448.07/x
  3. Step 3: Cross multiply
    767.04x = 1,058.50 × 448.07
  4. Step 4: Simplify right side
    767.04x = 474,282.10
  5. Step 5: Solve for x
    x = 474,282.10/767.04
  6. Step 6: Final answer
    x = 618.33

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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.