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Finding the Fourth Proportional to 1,740.98, 2,612.34 and 645.59

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Solution

The fourth proportional to 1,740.98, 2,612.34 and 645.59 is: 968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.98 : 2,612.34 = 645.59 : x
  2. Step 2: Convert to fraction form
    1,740.98/2,612.34 = 645.59/x
  3. Step 3: Cross multiply
    1,740.98x = 2,612.34 × 645.59
  4. Step 4: Simplify right side
    1,740.98x = 1,686,487.52
  5. Step 5: Solve for x
    x = 1,686,487.52/1,740.98
  6. Step 6: Final answer
    x = 968.70

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1.5x scale

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.