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Finding the Fourth Proportional to 1,267.85, 1,901.47 and 434.82

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Solution

The fourth proportional to 1,267.85, 1,901.47 and 434.82 is: 652.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.85 : 1,901.47 = 434.82 : x
  2. Step 2: Convert to fraction form
    1,267.85/1,901.47 = 434.82/x
  3. Step 3: Cross multiply
    1,267.85x = 1,901.47 × 434.82
  4. Step 4: Simplify right side
    1,267.85x = 826,790.60
  5. Step 5: Solve for x
    x = 826,790.60/1,267.85
  6. Step 6: Final answer
    x = 652.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.