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Finding the Fourth Proportional to 779.03, 1,073.98 and 557.58

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Solution

The fourth proportional to 779.03, 1,073.98 and 557.58 is: 768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.03 : 1,073.98 = 557.58 : x
  2. Step 2: Convert to fraction form
    779.03/1,073.98 = 557.58/x
  3. Step 3: Cross multiply
    779.03x = 1,073.98 × 557.58
  4. Step 4: Simplify right side
    779.03x = 598,829.77
  5. Step 5: Solve for x
    x = 598,829.77/779.03
  6. Step 6: Final answer
    x = 768.69

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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.