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Finding the Fourth Proportional to 822.61, 1,135.04 and 527.84

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Solution

The fourth proportional to 822.61, 1,135.04 and 527.84 is: 728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.61 : 1,135.04 = 527.84 : x
  2. Step 2: Convert to fraction form
    822.61/1,135.04 = 527.84/x
  3. Step 3: Cross multiply
    822.61x = 1,135.04 × 527.84
  4. Step 4: Simplify right side
    822.61x = 599,119.51
  5. Step 5: Solve for x
    x = 599,119.51/822.61
  6. Step 6: Final answer
    x = 728.32

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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.