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Finding the Fourth Proportional to 923.63, 1,274.60 and 530.78

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Solution

The fourth proportional to 923.63, 1,274.60 and 530.78 is: 732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.63 : 1,274.60 = 530.78 : x
  2. Step 2: Convert to fraction form
    923.63/1,274.60 = 530.78/x
  3. Step 3: Cross multiply
    923.63x = 1,274.60 × 530.78
  4. Step 4: Simplify right side
    923.63x = 676,527.14
  5. Step 5: Solve for x
    x = 676,527.14/923.63
  6. Step 6: Final answer
    x = 732.47

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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.