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Finding the Fourth Proportional to 810.80, 1,215.36 and 522.32

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Solution

The fourth proportional to 810.80, 1,215.36 and 522.32 is: 782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.80 : 1,215.36 = 522.32 : x
  2. Step 2: Convert to fraction form
    810.80/1,215.36 = 522.32/x
  3. Step 3: Cross multiply
    810.80x = 1,215.36 × 522.32
  4. Step 4: Simplify right side
    810.80x = 634,806.84
  5. Step 5: Solve for x
    x = 634,806.84/810.80
  6. Step 6: Final answer
    x = 782.94

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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.