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Finding the Fourth Proportional to 821.12, 1,133.36 and 510.88

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Solution

The fourth proportional to 821.12, 1,133.36 and 510.88 is: 705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.12 : 1,133.36 = 510.88 : x
  2. Step 2: Convert to fraction form
    821.12/1,133.36 = 510.88/x
  3. Step 3: Cross multiply
    821.12x = 1,133.36 × 510.88
  4. Step 4: Simplify right side
    821.12x = 579,010.96
  5. Step 5: Solve for x
    x = 579,010.96/821.12
  6. Step 6: Final answer
    x = 705.15

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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.