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Finding the Fourth Proportional to 883.36, 1,219.12 and 534.16

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Solution

The fourth proportional to 883.36, 1,219.12 and 534.16 is: 737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.36 : 1,219.12 = 534.16 : x
  2. Step 2: Convert to fraction form
    883.36/1,219.12 = 534.16/x
  3. Step 3: Cross multiply
    883.36x = 1,219.12 × 534.16
  4. Step 4: Simplify right side
    883.36x = 651,205.14
  5. Step 5: Solve for x
    x = 651,205.14/883.36
  6. Step 6: Final answer
    x = 737.19

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1.5x scale

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.