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Finding the Fourth Proportional to 1,064.74, 1,468.77 and 733.33

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Solution

The fourth proportional to 1,064.74, 1,468.77 and 733.33 is: 1,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.74 : 1,468.77 = 733.33 : x
  2. Step 2: Convert to fraction form
    1,064.74/1,468.77 = 733.33/x
  3. Step 3: Cross multiply
    1,064.74x = 1,468.77 × 733.33
  4. Step 4: Simplify right side
    1,064.74x = 1,077,093.10
  5. Step 5: Solve for x
    x = 1,077,093.10/1,064.74
  6. Step 6: Final answer
    x = 1,011.60

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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.