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Finding the Fourth Proportional to 1,022.58, 1,533.87 and 373.23

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Solution

The fourth proportional to 1,022.58, 1,533.87 and 373.23 is: 559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.58 : 1,533.87 = 373.23 : x
  2. Step 2: Convert to fraction form
    1,022.58/1,533.87 = 373.23/x
  3. Step 3: Cross multiply
    1,022.58x = 1,533.87 × 373.23
  4. Step 4: Simplify right side
    1,022.58x = 572,486.30
  5. Step 5: Solve for x
    x = 572,486.30/1,022.58
  6. Step 6: Final answer
    x = 559.85

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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.