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Finding the Fourth Proportional to 1,025.03, 1,537.55 and 447.50

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Solution

The fourth proportional to 1,025.03, 1,537.55 and 447.50 is: 671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.03 : 1,537.55 = 447.50 : x
  2. Step 2: Convert to fraction form
    1,025.03/1,537.55 = 447.50/x
  3. Step 3: Cross multiply
    1,025.03x = 1,537.55 × 447.50
  4. Step 4: Simplify right side
    1,025.03x = 688,053.63
  5. Step 5: Solve for x
    x = 688,053.63/1,025.03
  6. Step 6: Final answer
    x = 671.25

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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.