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Finding the Fourth Proportional to 1,307.21, 1,802.86 and 865.22

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Solution

The fourth proportional to 1,307.21, 1,802.86 and 865.22 is: 1,193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.21 : 1,802.86 = 865.22 : x
  2. Step 2: Convert to fraction form
    1,307.21/1,802.86 = 865.22/x
  3. Step 3: Cross multiply
    1,307.21x = 1,802.86 × 865.22
  4. Step 4: Simplify right side
    1,307.21x = 1,559,859.35
  5. Step 5: Solve for x
    x = 1,559,859.35/1,307.21
  6. Step 6: Final answer
    x = 1,193.28

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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.