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Finding the Fourth Proportional to 921.06, 1,270.95 and 507.06

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Solution

The fourth proportional to 921.06, 1,270.95 and 507.06 is: 699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.06 : 1,270.95 = 507.06 : x
  2. Step 2: Convert to fraction form
    921.06/1,270.95 = 507.06/x
  3. Step 3: Cross multiply
    921.06x = 1,270.95 × 507.06
  4. Step 4: Simplify right side
    921.06x = 644,447.91
  5. Step 5: Solve for x
    x = 644,447.91/921.06
  6. Step 6: Final answer
    x = 699.68

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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.