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Finding the Fourth Proportional to 1,412.40, 1,949.08 and 782.93

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Solution

The fourth proportional to 1,412.40, 1,949.08 and 782.93 is: 1,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.40 : 1,949.08 = 782.93 : x
  2. Step 2: Convert to fraction form
    1,412.40/1,949.08 = 782.93/x
  3. Step 3: Cross multiply
    1,412.40x = 1,949.08 × 782.93
  4. Step 4: Simplify right side
    1,412.40x = 1,525,993.20
  5. Step 5: Solve for x
    x = 1,525,993.20/1,412.40
  6. Step 6: Final answer
    x = 1,080.43

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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.