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Finding the Fourth Proportional to 1,022.52, 1,533.72 and 292.08

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Solution

The fourth proportional to 1,022.52, 1,533.72 and 292.08 is: 438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.52 : 1,533.72 = 292.08 : x
  2. Step 2: Convert to fraction form
    1,022.52/1,533.72 = 292.08/x
  3. Step 3: Cross multiply
    1,022.52x = 1,533.72 × 292.08
  4. Step 4: Simplify right side
    1,022.52x = 447,968.94
  5. Step 5: Solve for x
    x = 447,968.94/1,022.52
  6. Step 6: Final answer
    x = 438.10

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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.