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Finding the Fourth Proportional to 1,307.04, 1,802.91 and 809.29

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Solution

The fourth proportional to 1,307.04, 1,802.91 and 809.29 is: 1,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.04 : 1,802.91 = 809.29 : x
  2. Step 2: Convert to fraction form
    1,307.04/1,802.91 = 809.29/x
  3. Step 3: Cross multiply
    1,307.04x = 1,802.91 × 809.29
  4. Step 4: Simplify right side
    1,307.04x = 1,459,077.77
  5. Step 5: Solve for x
    x = 1,459,077.77/1,307.04
  6. Step 6: Final answer
    x = 1,116.33

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