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Finding the Fourth Proportional to 1,307.12, 1,802.64 and 865.52

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Solution

The fourth proportional to 1,307.12, 1,802.64 and 865.52 is: 1,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.12 : 1,802.64 = 865.52 : x
  2. Step 2: Convert to fraction form
    1,307.12/1,802.64 = 865.52/x
  3. Step 3: Cross multiply
    1,307.12x = 1,802.64 × 865.52
  4. Step 4: Simplify right side
    1,307.12x = 1,560,220.97
  5. Step 5: Solve for x
    x = 1,560,220.97/1,307.12
  6. Step 6: Final answer
    x = 1,193.63

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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.