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Finding the Fourth Proportional to 923.51, 1,274.45 and 530.50

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Solution

The fourth proportional to 923.51, 1,274.45 and 530.50 is: 732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.51 : 1,274.45 = 530.50 : x
  2. Step 2: Convert to fraction form
    923.51/1,274.45 = 530.50/x
  3. Step 3: Cross multiply
    923.51x = 1,274.45 × 530.50
  4. Step 4: Simplify right side
    923.51x = 676,095.73
  5. Step 5: Solve for x
    x = 676,095.73/923.51
  6. Step 6: Final answer
    x = 732.09

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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.