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Finding the Fourth Proportional to 782.75, 1,075.79 and 760.88

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Solution

The fourth proportional to 782.75, 1,075.79 and 760.88 is: 1,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.75 : 1,075.79 = 760.88 : x
  2. Step 2: Convert to fraction form
    782.75/1,075.79 = 760.88/x
  3. Step 3: Cross multiply
    782.75x = 1,075.79 × 760.88
  4. Step 4: Simplify right side
    782.75x = 818,547.10
  5. Step 5: Solve for x
    x = 818,547.10/782.75
  6. Step 6: Final answer
    x = 1,045.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.