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Finding the Fourth Proportional to 824.01, 1,137.15 and 509.16

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Solution

The fourth proportional to 824.01, 1,137.15 and 509.16 is: 702.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.01 : 1,137.15 = 509.16 : x
  2. Step 2: Convert to fraction form
    824.01/1,137.15 = 509.16/x
  3. Step 3: Cross multiply
    824.01x = 1,137.15 × 509.16
  4. Step 4: Simplify right side
    824.01x = 578,991.29
  5. Step 5: Solve for x
    x = 578,991.29/824.01
  6. Step 6: Final answer
    x = 702.65

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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.