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Finding the Fourth Proportional to 821.75, 1,133.83 and 507.36

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Solution

The fourth proportional to 821.75, 1,133.83 and 507.36 is: 700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.75 : 1,133.83 = 507.36 : x
  2. Step 2: Convert to fraction form
    821.75/1,133.83 = 507.36/x
  3. Step 3: Cross multiply
    821.75x = 1,133.83 × 507.36
  4. Step 4: Simplify right side
    821.75x = 575,264.87
  5. Step 5: Solve for x
    x = 575,264.87/821.75
  6. Step 6: Final answer
    x = 700.05

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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.