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Finding the Fourth Proportional to 923.52, 1,384.72 and 436.56

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Solution

The fourth proportional to 923.52, 1,384.72 and 436.56 is: 654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.52 : 1,384.72 = 436.56 : x
  2. Step 2: Convert to fraction form
    923.52/1,384.72 = 436.56/x
  3. Step 3: Cross multiply
    923.52x = 1,384.72 × 436.56
  4. Step 4: Simplify right side
    923.52x = 604,513.36
  5. Step 5: Solve for x
    x = 604,513.36/923.52
  6. Step 6: Final answer
    x = 654.58

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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.