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Finding the Fourth Proportional to 1,400.34, 1,932.48 and 779.34

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Solution

The fourth proportional to 1,400.34, 1,932.48 and 779.34 is: 1,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.34 : 1,932.48 = 779.34 : x
  2. Step 2: Convert to fraction form
    1,400.34/1,932.48 = 779.34/x
  3. Step 3: Cross multiply
    1,400.34x = 1,932.48 × 779.34
  4. Step 4: Simplify right side
    1,400.34x = 1,506,058.96
  5. Step 5: Solve for x
    x = 1,506,058.96/1,400.34
  6. Step 6: Final answer
    x = 1,075.50

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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.