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Finding the Fourth Proportional to 1,011.88, 1,511.54 and 847.86

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Solution

The fourth proportional to 1,011.88, 1,511.54 and 847.86 is: 1,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.88 : 1,511.54 = 847.86 : x
  2. Step 2: Convert to fraction form
    1,011.88/1,511.54 = 847.86/x
  3. Step 3: Cross multiply
    1,011.88x = 1,511.54 × 847.86
  4. Step 4: Simplify right side
    1,011.88x = 1,281,574.30
  5. Step 5: Solve for x
    x = 1,281,574.30/1,011.88
  6. Step 6: Final answer
    x = 1,266.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.