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Finding the Fourth Proportional to 1,098.37, 1,515.05 and 766.68

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Solution

The fourth proportional to 1,098.37, 1,515.05 and 766.68 is: 1,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.37 : 1,515.05 = 766.68 : x
  2. Step 2: Convert to fraction form
    1,098.37/1,515.05 = 766.68/x
  3. Step 3: Cross multiply
    1,098.37x = 1,515.05 × 766.68
  4. Step 4: Simplify right side
    1,098.37x = 1,161,554.77
  5. Step 5: Solve for x
    x = 1,161,554.77/1,098.37
  6. Step 6: Final answer
    x = 1,057.52

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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.