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Finding the Fourth Proportional to 1,049.57, 1,448.35 and 607.44

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Solution

The fourth proportional to 1,049.57, 1,448.35 and 607.44 is: 838.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.57 : 1,448.35 = 607.44 : x
  2. Step 2: Convert to fraction form
    1,049.57/1,448.35 = 607.44/x
  3. Step 3: Cross multiply
    1,049.57x = 1,448.35 × 607.44
  4. Step 4: Simplify right side
    1,049.57x = 879,782.69
  5. Step 5: Solve for x
    x = 879,782.69/1,049.57
  6. Step 6: Final answer
    x = 838.23

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.