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Finding the Fourth Proportional to 1,733.13, 2,599.69 and 693.60

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Solution

The fourth proportional to 1,733.13, 2,599.69 and 693.60 is: 1,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.13 : 2,599.69 = 693.60 : x
  2. Step 2: Convert to fraction form
    1,733.13/2,599.69 = 693.60/x
  3. Step 3: Cross multiply
    1,733.13x = 2,599.69 × 693.60
  4. Step 4: Simplify right side
    1,733.13x = 1,803,144.98
  5. Step 5: Solve for x
    x = 1,803,144.98/1,733.13
  6. Step 6: Final answer
    x = 1,040.40

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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.