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Finding the Fourth Proportional to 1,706.39, 2,559.48 and 1,004.00

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Solution

The fourth proportional to 1,706.39, 2,559.48 and 1,004.00 is: 1,505.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.39 : 2,559.48 = 1,004.00 : x
  2. Step 2: Convert to fraction form
    1,706.39/2,559.48 = 1,004.00/x
  3. Step 3: Cross multiply
    1,706.39x = 2,559.48 × 1,004.00
  4. Step 4: Simplify right side
    1,706.39x = 2,569,705.12
  5. Step 5: Solve for x
    x = 2,569,705.12/1,706.39
  6. Step 6: Final answer
    x = 1,505.93

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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.