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Finding the Fourth Proportional to 1,048.41, 1,572.62 and 431.70

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Solution

The fourth proportional to 1,048.41, 1,572.62 and 431.70 is: 647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.41 : 1,572.62 = 431.70 : x
  2. Step 2: Convert to fraction form
    1,048.41/1,572.62 = 431.70/x
  3. Step 3: Cross multiply
    1,048.41x = 1,572.62 × 431.70
  4. Step 4: Simplify right side
    1,048.41x = 678,892.00
  5. Step 5: Solve for x
    x = 678,892.00/1,048.41
  6. Step 6: Final answer
    x = 647.54

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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.