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Finding the Fourth Proportional to 824.30, 1,137.02 and 509.66

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Solution

The fourth proportional to 824.30, 1,137.02 and 509.66 is: 703.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.30 : 1,137.02 = 509.66 : x
  2. Step 2: Convert to fraction form
    824.30/1,137.02 = 509.66/x
  3. Step 3: Cross multiply
    824.30x = 1,137.02 × 509.66
  4. Step 4: Simplify right side
    824.30x = 579,485.38
  5. Step 5: Solve for x
    x = 579,485.38/824.30
  6. Step 6: Final answer
    x = 703.01

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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.