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Finding the Fourth Proportional to 767.04, 1,058.04 and 619.68

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Solution

The fourth proportional to 767.04, 1,058.04 and 619.68 is: 854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.04 : 1,058.04 = 619.68 : x
  2. Step 2: Convert to fraction form
    767.04/1,058.04 = 619.68/x
  3. Step 3: Cross multiply
    767.04x = 1,058.04 × 619.68
  4. Step 4: Simplify right side
    767.04x = 655,646.23
  5. Step 5: Solve for x
    x = 655,646.23/767.04
  6. Step 6: Final answer
    x = 854.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.