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Finding the Fourth Proportional to 940.89, 1,298.34 and 521.16

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Solution

The fourth proportional to 940.89, 1,298.34 and 521.16 is: 719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.89 : 1,298.34 = 521.16 : x
  2. Step 2: Convert to fraction form
    940.89/1,298.34 = 521.16/x
  3. Step 3: Cross multiply
    940.89x = 1,298.34 × 521.16
  4. Step 4: Simplify right side
    940.89x = 676,642.87
  5. Step 5: Solve for x
    x = 676,642.87/940.89
  6. Step 6: Final answer
    x = 719.15

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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.