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Finding the Fourth Proportional to 940.76, 1,298.16 and 521.10

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Solution

The fourth proportional to 940.76, 1,298.16 and 521.10 is: 719.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.76 : 1,298.16 = 521.10 : x
  2. Step 2: Convert to fraction form
    940.76/1,298.16 = 521.10/x
  3. Step 3: Cross multiply
    940.76x = 1,298.16 × 521.10
  4. Step 4: Simplify right side
    940.76x = 676,471.18
  5. Step 5: Solve for x
    x = 676,471.18/940.76
  6. Step 6: Final answer
    x = 719.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.