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Finding the Fourth Proportional to 763.84, 1,144.08 and 570.88

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Solution

The fourth proportional to 763.84, 1,144.08 and 570.88 is: 855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.84 : 1,144.08 = 570.88 : x
  2. Step 2: Convert to fraction form
    763.84/1,144.08 = 570.88/x
  3. Step 3: Cross multiply
    763.84x = 1,144.08 × 570.88
  4. Step 4: Simplify right side
    763.84x = 653,132.39
  5. Step 5: Solve for x
    x = 653,132.39/763.84
  6. Step 6: Final answer
    x = 855.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.