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Finding the Fourth Proportional to 1,047.60, 1,569.96 and 773.82

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Solution

The fourth proportional to 1,047.60, 1,569.96 and 773.82 is: 1,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.60 : 1,569.96 = 773.82 : x
  2. Step 2: Convert to fraction form
    1,047.60/1,569.96 = 773.82/x
  3. Step 3: Cross multiply
    1,047.60x = 1,569.96 × 773.82
  4. Step 4: Simplify right side
    1,047.60x = 1,214,866.45
  5. Step 5: Solve for x
    x = 1,214,866.45/1,047.60
  6. Step 6: Final answer
    x = 1,159.67

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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.