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Finding the Fourth Proportional to 962.24, 1,435.12 and 824

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Solution

The fourth proportional to 962.24, 1,435.12 and 824 is: 1,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.24 : 1,435.12 = 824 : x
  2. Step 2: Convert to fraction form
    962.24/1,435.12 = 824/x
  3. Step 3: Cross multiply
    962.24x = 1,435.12 × 824
  4. Step 4: Simplify right side
    962.24x = 1,182,538.88
  5. Step 5: Solve for x
    x = 1,182,538.88/962.24
  6. Step 6: Final answer
    x = 1,228.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.