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Finding the Fourth Proportional to 1,706.54, 2,559.13 and 666.35

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Solution

The fourth proportional to 1,706.54, 2,559.13 and 666.35 is: 999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.54 : 2,559.13 = 666.35 : x
  2. Step 2: Convert to fraction form
    1,706.54/2,559.13 = 666.35/x
  3. Step 3: Cross multiply
    1,706.54x = 2,559.13 × 666.35
  4. Step 4: Simplify right side
    1,706.54x = 1,705,281.42
  5. Step 5: Solve for x
    x = 1,705,281.42/1,706.54
  6. Step 6: Final answer
    x = 999.26

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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.