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Finding the Fourth Proportional to 1,412.23, 1,948.95 and 782.83

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Solution

The fourth proportional to 1,412.23, 1,948.95 and 782.83 is: 1,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.23 : 1,948.95 = 782.83 : x
  2. Step 2: Convert to fraction form
    1,412.23/1,948.95 = 782.83/x
  3. Step 3: Cross multiply
    1,412.23x = 1,948.95 × 782.83
  4. Step 4: Simplify right side
    1,412.23x = 1,525,682.87
  5. Step 5: Solve for x
    x = 1,525,682.87/1,412.23
  6. Step 6: Final answer
    x = 1,080.34

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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.