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Finding the Fourth Proportional to 940.84, 1,409.10 and 529.36

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Solution

The fourth proportional to 940.84, 1,409.10 and 529.36 is: 792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.84 : 1,409.10 = 529.36 : x
  2. Step 2: Convert to fraction form
    940.84/1,409.10 = 529.36/x
  3. Step 3: Cross multiply
    940.84x = 1,409.10 × 529.36
  4. Step 4: Simplify right side
    940.84x = 745,921.18
  5. Step 5: Solve for x
    x = 745,921.18/940.84
  6. Step 6: Final answer
    x = 792.82

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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.