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Finding the Fourth Proportional to 1,027.60, 1,533.23 and 902.86

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Solution

The fourth proportional to 1,027.60, 1,533.23 and 902.86 is: 1,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.60 : 1,533.23 = 902.86 : x
  2. Step 2: Convert to fraction form
    1,027.60/1,533.23 = 902.86/x
  3. Step 3: Cross multiply
    1,027.60x = 1,533.23 × 902.86
  4. Step 4: Simplify right side
    1,027.60x = 1,384,292.04
  5. Step 5: Solve for x
    x = 1,384,292.04/1,027.60
  6. Step 6: Final answer
    x = 1,347.11

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Why These Related Problems?

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