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Finding the Fourth Proportional to 1,733.72, 2,599.14 and 708.44

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Solution

The fourth proportional to 1,733.72, 2,599.14 and 708.44 is: 1,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.72 : 2,599.14 = 708.44 : x
  2. Step 2: Convert to fraction form
    1,733.72/2,599.14 = 708.44/x
  3. Step 3: Cross multiply
    1,733.72x = 2,599.14 × 708.44
  4. Step 4: Simplify right side
    1,733.72x = 1,841,334.74
  5. Step 5: Solve for x
    x = 1,841,334.74/1,733.72
  6. Step 6: Final answer
    x = 1,062.07

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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.