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Finding the Fourth Proportional to 1,047.93, 1,572.12 and 431.55

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Solution

The fourth proportional to 1,047.93, 1,572.12 and 431.55 is: 647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.93 : 1,572.12 = 431.55 : x
  2. Step 2: Convert to fraction form
    1,047.93/1,572.12 = 431.55/x
  3. Step 3: Cross multiply
    1,047.93x = 1,572.12 × 431.55
  4. Step 4: Simplify right side
    1,047.93x = 678,448.39
  5. Step 5: Solve for x
    x = 678,448.39/1,047.93
  6. Step 6: Final answer
    x = 647.42

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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.