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Finding the Fourth Proportional to 1,035.54, 1,429.20 and 766.98

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Solution

The fourth proportional to 1,035.54, 1,429.20 and 766.98 is: 1,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.54 : 1,429.20 = 766.98 : x
  2. Step 2: Convert to fraction form
    1,035.54/1,429.20 = 766.98/x
  3. Step 3: Cross multiply
    1,035.54x = 1,429.20 × 766.98
  4. Step 4: Simplify right side
    1,035.54x = 1,096,167.82
  5. Step 5: Solve for x
    x = 1,096,167.82/1,035.54
  6. Step 6: Final answer
    x = 1,058.55

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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.