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Finding the Fourth Proportional to 1,307.13, 1,802.94 and 808.90

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Solution

The fourth proportional to 1,307.13, 1,802.94 and 808.90 is: 1,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.13 : 1,802.94 = 808.90 : x
  2. Step 2: Convert to fraction form
    1,307.13/1,802.94 = 808.90/x
  3. Step 3: Cross multiply
    1,307.13x = 1,802.94 × 808.90
  4. Step 4: Simplify right side
    1,307.13x = 1,458,398.17
  5. Step 5: Solve for x
    x = 1,458,398.17/1,307.13
  6. Step 6: Final answer
    x = 1,115.73

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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.