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Finding the Fourth Proportional to 1,339.84, 2,009.58 and 746.28

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Solution

The fourth proportional to 1,339.84, 2,009.58 and 746.28 is: 1,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.84 : 2,009.58 = 746.28 : x
  2. Step 2: Convert to fraction form
    1,339.84/2,009.58 = 746.28/x
  3. Step 3: Cross multiply
    1,339.84x = 2,009.58 × 746.28
  4. Step 4: Simplify right side
    1,339.84x = 1,499,706.56
  5. Step 5: Solve for x
    x = 1,499,706.56/1,339.84
  6. Step 6: Final answer
    x = 1,119.32

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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.