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Finding the Fourth Proportional to 1,445.65, 1,995.00 and 782.52

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Solution

The fourth proportional to 1,445.65, 1,995.00 and 782.52 is: 1,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.65 : 1,995.00 = 782.52 : x
  2. Step 2: Convert to fraction form
    1,445.65/1,995.00 = 782.52/x
  3. Step 3: Cross multiply
    1,445.65x = 1,995.00 × 782.52
  4. Step 4: Simplify right side
    1,445.65x = 1,561,124.47
  5. Step 5: Solve for x
    x = 1,561,124.47/1,445.65
  6. Step 6: Final answer
    x = 1,079.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.