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Finding the Fourth Proportional to 923.64, 1,274.62 and 592.07

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Solution

The fourth proportional to 923.64, 1,274.62 and 592.07 is: 817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.64 : 1,274.62 = 592.07 : x
  2. Step 2: Convert to fraction form
    923.64/1,274.62 = 592.07/x
  3. Step 3: Cross multiply
    923.64x = 1,274.62 × 592.07
  4. Step 4: Simplify right side
    923.64x = 754,664.26
  5. Step 5: Solve for x
    x = 754,664.26/923.64
  6. Step 6: Final answer
    x = 817.05

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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.