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Finding the Fourth Proportional to 1,276.97, 1,762.56 and 753.10

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Solution

The fourth proportional to 1,276.97, 1,762.56 and 753.10 is: 1,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.97 : 1,762.56 = 753.10 : x
  2. Step 2: Convert to fraction form
    1,276.97/1,762.56 = 753.10/x
  3. Step 3: Cross multiply
    1,276.97x = 1,762.56 × 753.10
  4. Step 4: Simplify right side
    1,276.97x = 1,327,379.53
  5. Step 5: Solve for x
    x = 1,327,379.53/1,276.97
  6. Step 6: Final answer
    x = 1,039.48

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1.5x scale

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.