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Finding the Fourth Proportional to 1,412.28, 1,948.80 and 782.85

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Solution

The fourth proportional to 1,412.28, 1,948.80 and 782.85 is: 1,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.28 : 1,948.80 = 782.85 : x
  2. Step 2: Convert to fraction form
    1,412.28/1,948.80 = 782.85/x
  3. Step 3: Cross multiply
    1,412.28x = 1,948.80 × 782.85
  4. Step 4: Simplify right side
    1,412.28x = 1,525,618.08
  5. Step 5: Solve for x
    x = 1,525,618.08/1,412.28
  6. Step 6: Final answer
    x = 1,080.25

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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.