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Finding the Fourth Proportional to 1,117.36, 1,674.97 and 423.82

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Solution

The fourth proportional to 1,117.36, 1,674.97 and 423.82 is: 635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.36 : 1,674.97 = 423.82 : x
  2. Step 2: Convert to fraction form
    1,117.36/1,674.97 = 423.82/x
  3. Step 3: Cross multiply
    1,117.36x = 1,674.97 × 423.82
  4. Step 4: Simplify right side
    1,117.36x = 709,886.82
  5. Step 5: Solve for x
    x = 709,886.82/1,117.36
  6. Step 6: Final answer
    x = 635.32

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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.