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Finding the Fourth Proportional to 1,140.96, 1,573.72 and 1,102.86

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Solution

The fourth proportional to 1,140.96, 1,573.72 and 1,102.86 is: 1,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.96 : 1,573.72 = 1,102.86 : x
  2. Step 2: Convert to fraction form
    1,140.96/1,573.72 = 1,102.86/x
  3. Step 3: Cross multiply
    1,140.96x = 1,573.72 × 1,102.86
  4. Step 4: Simplify right side
    1,140.96x = 1,735,592.84
  5. Step 5: Solve for x
    x = 1,735,592.84/1,140.96
  6. Step 6: Final answer
    x = 1,521.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.