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Finding the Fourth Proportional to 923.04, 1,383 and 597.74

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Solution

The fourth proportional to 923.04, 1,383 and 597.74 is: 895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.04 : 1,383 = 597.74 : x
  2. Step 2: Convert to fraction form
    923.04/1,383 = 597.74/x
  3. Step 3: Cross multiply
    923.04x = 1,383 × 597.74
  4. Step 4: Simplify right side
    923.04x = 826,667.51
  5. Step 5: Solve for x
    x = 826,667.51/923.04
  6. Step 6: Final answer
    x = 895.59

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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.