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Finding the Fourth Proportional to 1,033.37, 1,547.98 and 622.27

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Solution

The fourth proportional to 1,033.37, 1,547.98 and 622.27 is: 932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.37 : 1,547.98 = 622.27 : x
  2. Step 2: Convert to fraction form
    1,033.37/1,547.98 = 622.27/x
  3. Step 3: Cross multiply
    1,033.37x = 1,547.98 × 622.27
  4. Step 4: Simplify right side
    1,033.37x = 963,261.51
  5. Step 5: Solve for x
    x = 963,261.51/1,033.37
  6. Step 6: Final answer
    x = 932.16

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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.