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Finding the Fourth Proportional to 821.75, 1,133.54 and 507.06

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Solution

The fourth proportional to 821.75, 1,133.54 and 507.06 is: 699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.75 : 1,133.54 = 507.06 : x
  2. Step 2: Convert to fraction form
    821.75/1,133.54 = 507.06/x
  3. Step 3: Cross multiply
    821.75x = 1,133.54 × 507.06
  4. Step 4: Simplify right side
    821.75x = 574,775.01
  5. Step 5: Solve for x
    x = 574,775.01/821.75
  6. Step 6: Final answer
    x = 699.46

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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.