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Finding the Fourth Proportional to 1,022.84, 1,533.42 and 373.16

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Solution

The fourth proportional to 1,022.84, 1,533.42 and 373.16 is: 559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.84 : 1,533.42 = 373.16 : x
  2. Step 2: Convert to fraction form
    1,022.84/1,533.42 = 373.16/x
  3. Step 3: Cross multiply
    1,022.84x = 1,533.42 × 373.16
  4. Step 4: Simplify right side
    1,022.84x = 572,211.01
  5. Step 5: Solve for x
    x = 572,211.01/1,022.84
  6. Step 6: Final answer
    x = 559.43

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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.