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Finding the Fourth Proportional to 1,346.70, 2,017.35 and 697.80

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Solution

The fourth proportional to 1,346.70, 2,017.35 and 697.80 is: 1,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.70 : 2,017.35 = 697.80 : x
  2. Step 2: Convert to fraction form
    1,346.70/2,017.35 = 697.80/x
  3. Step 3: Cross multiply
    1,346.70x = 2,017.35 × 697.80
  4. Step 4: Simplify right side
    1,346.70x = 1,407,706.83
  5. Step 5: Solve for x
    x = 1,407,706.83/1,346.70
  6. Step 6: Final answer
    x = 1,045.30

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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.