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Finding the Fourth Proportional to 802.77, 1,107.23 and 614.14

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Solution

The fourth proportional to 802.77, 1,107.23 and 614.14 is: 847.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.77 : 1,107.23 = 614.14 : x
  2. Step 2: Convert to fraction form
    802.77/1,107.23 = 614.14/x
  3. Step 3: Cross multiply
    802.77x = 1,107.23 × 614.14
  4. Step 4: Simplify right side
    802.77x = 679,988.70
  5. Step 5: Solve for x
    x = 679,988.70/802.77
  6. Step 6: Final answer
    x = 847.06

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1.5x scale

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.