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Finding the Fourth Proportional to 1,355.70, 1,871.04 and 766.26

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Solution

The fourth proportional to 1,355.70, 1,871.04 and 766.26 is: 1,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.70 : 1,871.04 = 766.26 : x
  2. Step 2: Convert to fraction form
    1,355.70/1,871.04 = 766.26/x
  3. Step 3: Cross multiply
    1,355.70x = 1,871.04 × 766.26
  4. Step 4: Simplify right side
    1,355.70x = 1,433,703.11
  5. Step 5: Solve for x
    x = 1,433,703.11/1,355.70
  6. Step 6: Final answer
    x = 1,057.54

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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.