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Finding the Fourth Proportional to 824.94, 1,237.64 and 459.99

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Solution

The fourth proportional to 824.94, 1,237.64 and 459.99 is: 690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.94 : 1,237.64 = 459.99 : x
  2. Step 2: Convert to fraction form
    824.94/1,237.64 = 459.99/x
  3. Step 3: Cross multiply
    824.94x = 1,237.64 × 459.99
  4. Step 4: Simplify right side
    824.94x = 569,302.02
  5. Step 5: Solve for x
    x = 569,302.02/824.94
  6. Step 6: Final answer
    x = 690.11

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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.