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Finding the Fourth Proportional to 1,069.80, 1,606.35 and 583.80

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Solution

The fourth proportional to 1,069.80, 1,606.35 and 583.80 is: 876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.80 : 1,606.35 = 583.80 : x
  2. Step 2: Convert to fraction form
    1,069.80/1,606.35 = 583.80/x
  3. Step 3: Cross multiply
    1,069.80x = 1,606.35 × 583.80
  4. Step 4: Simplify right side
    1,069.80x = 937,787.13
  5. Step 5: Solve for x
    x = 937,787.13/1,069.80
  6. Step 6: Final answer
    x = 876.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.