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Finding the Fourth Proportional to 939.64, 1,409.34 and 522.76

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Solution

The fourth proportional to 939.64, 1,409.34 and 522.76 is: 784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.64 : 1,409.34 = 522.76 : x
  2. Step 2: Convert to fraction form
    939.64/1,409.34 = 522.76/x
  3. Step 3: Cross multiply
    939.64x = 1,409.34 × 522.76
  4. Step 4: Simplify right side
    939.64x = 736,746.58
  5. Step 5: Solve for x
    x = 736,746.58/939.64
  6. Step 6: Final answer
    x = 784.07

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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.