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Finding the Fourth Proportional to 1,277.15, 1,762.49 and 710.00

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Solution

The fourth proportional to 1,277.15, 1,762.49 and 710.00 is: 979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.15 : 1,762.49 = 710.00 : x
  2. Step 2: Convert to fraction form
    1,277.15/1,762.49 = 710.00/x
  3. Step 3: Cross multiply
    1,277.15x = 1,762.49 × 710.00
  4. Step 4: Simplify right side
    1,277.15x = 1,251,355.54
  5. Step 5: Solve for x
    x = 1,251,355.54/1,277.15
  6. Step 6: Final answer
    x = 979.81

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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.