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Finding the Fourth Proportional to 1,027.28, 1,416.90 and 802.76

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Solution

The fourth proportional to 1,027.28, 1,416.90 and 802.76 is: 1,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.28 : 1,416.90 = 802.76 : x
  2. Step 2: Convert to fraction form
    1,027.28/1,416.90 = 802.76/x
  3. Step 3: Cross multiply
    1,027.28x = 1,416.90 × 802.76
  4. Step 4: Simplify right side
    1,027.28x = 1,137,430.64
  5. Step 5: Solve for x
    x = 1,137,430.64/1,027.28
  6. Step 6: Final answer
    x = 1,107.23

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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.