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Finding the Fourth Proportional to 1,152.19, 1,726 and 688.68

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Solution

The fourth proportional to 1,152.19, 1,726 and 688.68 is: 1,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.19 : 1,726 = 688.68 : x
  2. Step 2: Convert to fraction form
    1,152.19/1,726 = 688.68/x
  3. Step 3: Cross multiply
    1,152.19x = 1,726 × 688.68
  4. Step 4: Simplify right side
    1,152.19x = 1,188,661.68
  5. Step 5: Solve for x
    x = 1,188,661.68/1,152.19
  6. Step 6: Final answer
    x = 1,031.65

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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.