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Finding the Fourth Proportional to 783.65, 1,081.09 and 503.84

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Solution

The fourth proportional to 783.65, 1,081.09 and 503.84 is: 695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.65 : 1,081.09 = 503.84 : x
  2. Step 2: Convert to fraction form
    783.65/1,081.09 = 503.84/x
  3. Step 3: Cross multiply
    783.65x = 1,081.09 × 503.84
  4. Step 4: Simplify right side
    783.65x = 544,692.24
  5. Step 5: Solve for x
    x = 544,692.24/783.65
  6. Step 6: Final answer
    x = 695.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.