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Finding the Fourth Proportional to 1,302.84, 1,953.78 and 523.02

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Solution

The fourth proportional to 1,302.84, 1,953.78 and 523.02 is: 784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.84 : 1,953.78 = 523.02 : x
  2. Step 2: Convert to fraction form
    1,302.84/1,953.78 = 523.02/x
  3. Step 3: Cross multiply
    1,302.84x = 1,953.78 × 523.02
  4. Step 4: Simplify right side
    1,302.84x = 1,021,866.02
  5. Step 5: Solve for x
    x = 1,021,866.02/1,302.84
  6. Step 6: Final answer
    x = 784.34

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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.