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Finding the Fourth Proportional to 953.04, 1,426.21 and 824.55

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Solution

The fourth proportional to 953.04, 1,426.21 and 824.55 is: 1,233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.04 : 1,426.21 = 824.55 : x
  2. Step 2: Convert to fraction form
    953.04/1,426.21 = 824.55/x
  3. Step 3: Cross multiply
    953.04x = 1,426.21 × 824.55
  4. Step 4: Simplify right side
    953.04x = 1,175,981.46
  5. Step 5: Solve for x
    x = 1,175,981.46/953.04
  6. Step 6: Final answer
    x = 1,233.93

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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.