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Finding the Fourth Proportional to 1,047.59, 1,571.49 and 354.29

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Solution

The fourth proportional to 1,047.59, 1,571.49 and 354.29 is: 531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.59 : 1,571.49 = 354.29 : x
  2. Step 2: Convert to fraction form
    1,047.59/1,571.49 = 354.29/x
  3. Step 3: Cross multiply
    1,047.59x = 1,571.49 × 354.29
  4. Step 4: Simplify right side
    1,047.59x = 556,763.19
  5. Step 5: Solve for x
    x = 556,763.19/1,047.59
  6. Step 6: Final answer
    x = 531.47

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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.