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Finding the Fourth Proportional to 923.84, 1,274.80 and 530.88

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Solution

The fourth proportional to 923.84, 1,274.80 and 530.88 is: 732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.84 : 1,274.80 = 530.88 : x
  2. Step 2: Convert to fraction form
    923.84/1,274.80 = 530.88/x
  3. Step 3: Cross multiply
    923.84x = 1,274.80 × 530.88
  4. Step 4: Simplify right side
    923.84x = 676,765.82
  5. Step 5: Solve for x
    x = 676,765.82/923.84
  6. Step 6: Final answer
    x = 732.56

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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.