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Finding the Fourth Proportional to 1,276.99, 1,762.32 and 717.55

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Solution

The fourth proportional to 1,276.99, 1,762.32 and 717.55 is: 990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.99 : 1,762.32 = 717.55 : x
  2. Step 2: Convert to fraction form
    1,276.99/1,762.32 = 717.55/x
  3. Step 3: Cross multiply
    1,276.99x = 1,762.32 × 717.55
  4. Step 4: Simplify right side
    1,276.99x = 1,264,552.72
  5. Step 5: Solve for x
    x = 1,264,552.72/1,276.99
  6. Step 6: Final answer
    x = 990.26

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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.