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Finding the Fourth Proportional to 1,277.64, 1,762.61 and 780.08

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Solution

The fourth proportional to 1,277.64, 1,762.61 and 780.08 is: 1,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.64 : 1,762.61 = 780.08 : x
  2. Step 2: Convert to fraction form
    1,277.64/1,762.61 = 780.08/x
  3. Step 3: Cross multiply
    1,277.64x = 1,762.61 × 780.08
  4. Step 4: Simplify right side
    1,277.64x = 1,374,964.10
  5. Step 5: Solve for x
    x = 1,374,964.10/1,277.64
  6. Step 6: Final answer
    x = 1,076.17

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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.