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Finding the Fourth Proportional to 1,355.77, 2,033.88 and 431.33

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Solution

The fourth proportional to 1,355.77, 2,033.88 and 431.33 is: 647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.77 : 2,033.88 = 431.33 : x
  2. Step 2: Convert to fraction form
    1,355.77/2,033.88 = 431.33/x
  3. Step 3: Cross multiply
    1,355.77x = 2,033.88 × 431.33
  4. Step 4: Simplify right side
    1,355.77x = 877,273.46
  5. Step 5: Solve for x
    x = 877,273.46/1,355.77
  6. Step 6: Final answer
    x = 647.07

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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.