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Finding the Fourth Proportional to 1,047.62, 1,572.52 and 969.86

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Solution

The fourth proportional to 1,047.62, 1,572.52 and 969.86 is: 1,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.62 : 1,572.52 = 969.86 : x
  2. Step 2: Convert to fraction form
    1,047.62/1,572.52 = 969.86/x
  3. Step 3: Cross multiply
    1,047.62x = 1,572.52 × 969.86
  4. Step 4: Simplify right side
    1,047.62x = 1,525,124.25
  5. Step 5: Solve for x
    x = 1,525,124.25/1,047.62
  6. Step 6: Final answer
    x = 1,455.80

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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.