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Finding the Fourth Proportional to 1,047.47, 1,572.57 and 609.12

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Solution

The fourth proportional to 1,047.47, 1,572.57 and 609.12 is: 914.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.47 : 1,572.57 = 609.12 : x
  2. Step 2: Convert to fraction form
    1,047.47/1,572.57 = 609.12/x
  3. Step 3: Cross multiply
    1,047.47x = 1,572.57 × 609.12
  4. Step 4: Simplify right side
    1,047.47x = 957,883.84
  5. Step 5: Solve for x
    x = 957,883.84/1,047.47
  6. Step 6: Final answer
    x = 914.48

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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.