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Finding the Fourth Proportional to 783.99, 1,081.31 and 652.77

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Solution

The fourth proportional to 783.99, 1,081.31 and 652.77 is: 900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.99 : 1,081.31 = 652.77 : x
  2. Step 2: Convert to fraction form
    783.99/1,081.31 = 652.77/x
  3. Step 3: Cross multiply
    783.99x = 1,081.31 × 652.77
  4. Step 4: Simplify right side
    783.99x = 705,843.46
  5. Step 5: Solve for x
    x = 705,843.46/783.99
  6. Step 6: Final answer
    x = 900.32

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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.