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Finding the Fourth Proportional to 1,705.04, 2,555.78 and 870.56

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Solution

The fourth proportional to 1,705.04, 2,555.78 and 870.56 is: 1,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.04 : 2,555.78 = 870.56 : x
  2. Step 2: Convert to fraction form
    1,705.04/2,555.78 = 870.56/x
  3. Step 3: Cross multiply
    1,705.04x = 2,555.78 × 870.56
  4. Step 4: Simplify right side
    1,705.04x = 2,224,942.71
  5. Step 5: Solve for x
    x = 2,224,942.71/1,705.04
  6. Step 6: Final answer
    x = 1,304.92

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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.