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Finding the Fourth Proportional to 768.62, 1,058.70 and 602.52

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Solution

The fourth proportional to 768.62, 1,058.70 and 602.52 is: 829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.62 : 1,058.70 = 602.52 : x
  2. Step 2: Convert to fraction form
    768.62/1,058.70 = 602.52/x
  3. Step 3: Cross multiply
    768.62x = 1,058.70 × 602.52
  4. Step 4: Simplify right side
    768.62x = 637,887.92
  5. Step 5: Solve for x
    x = 637,887.92/768.62
  6. Step 6: Final answer
    x = 829.92

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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.