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Finding the Fourth Proportional to 1,130.14, 1,694.80 and 782.65

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Solution

The fourth proportional to 1,130.14, 1,694.80 and 782.65 is: 1,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.14 : 1,694.80 = 782.65 : x
  2. Step 2: Convert to fraction form
    1,130.14/1,694.80 = 782.65/x
  3. Step 3: Cross multiply
    1,130.14x = 1,694.80 × 782.65
  4. Step 4: Simplify right side
    1,130.14x = 1,326,435.22
  5. Step 5: Solve for x
    x = 1,326,435.22/1,130.14
  6. Step 6: Final answer
    x = 1,173.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.