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Finding the Fourth Proportional to 944.00, 1,302.69 and 524.32

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Solution

The fourth proportional to 944.00, 1,302.69 and 524.32 is: 723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.00 : 1,302.69 = 524.32 : x
  2. Step 2: Convert to fraction form
    944.00/1,302.69 = 524.32/x
  3. Step 3: Cross multiply
    944.00x = 1,302.69 × 524.32
  4. Step 4: Simplify right side
    944.00x = 683,028.05
  5. Step 5: Solve for x
    x = 683,028.05/944.00
  6. Step 6: Final answer
    x = 723.55

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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.