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Finding the Fourth Proportional to 1,022.99, 1,534.03 and 373.27

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Solution

The fourth proportional to 1,022.99, 1,534.03 and 373.27 is: 559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.99 : 1,534.03 = 373.27 : x
  2. Step 2: Convert to fraction form
    1,022.99/1,534.03 = 373.27/x
  3. Step 3: Cross multiply
    1,022.99x = 1,534.03 × 373.27
  4. Step 4: Simplify right side
    1,022.99x = 572,602.61
  5. Step 5: Solve for x
    x = 572,602.61/1,022.99
  6. Step 6: Final answer
    x = 559.74

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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.