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Finding the Fourth Proportional to 821.02, 1,222.24 and 816.16

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Solution

The fourth proportional to 821.02, 1,222.24 and 816.16 is: 1,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.02 : 1,222.24 = 816.16 : x
  2. Step 2: Convert to fraction form
    821.02/1,222.24 = 816.16/x
  3. Step 3: Cross multiply
    821.02x = 1,222.24 × 816.16
  4. Step 4: Simplify right side
    821.02x = 997,543.40
  5. Step 5: Solve for x
    x = 997,543.40/821.02
  6. Step 6: Final answer
    x = 1,215.00

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1.5x scale

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.