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Finding the Fourth Proportional to 940.69, 1,298.12 and 521.07

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Solution

The fourth proportional to 940.69, 1,298.12 and 521.07 is: 719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.69 : 1,298.12 = 521.07 : x
  2. Step 2: Convert to fraction form
    940.69/1,298.12 = 521.07/x
  3. Step 3: Cross multiply
    940.69x = 1,298.12 × 521.07
  4. Step 4: Simplify right side
    940.69x = 676,411.39
  5. Step 5: Solve for x
    x = 676,411.39/940.69
  6. Step 6: Final answer
    x = 719.06

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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.