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Finding the Fourth Proportional to 1,706.64, 2,559.94 and 474.04

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Solution

The fourth proportional to 1,706.64, 2,559.94 and 474.04 is: 711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.64 : 2,559.94 = 474.04 : x
  2. Step 2: Convert to fraction form
    1,706.64/2,559.94 = 474.04/x
  3. Step 3: Cross multiply
    1,706.64x = 2,559.94 × 474.04
  4. Step 4: Simplify right side
    1,706.64x = 1,213,513.96
  5. Step 5: Solve for x
    x = 1,213,513.96/1,706.64
  6. Step 6: Final answer
    x = 711.05

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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.