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Finding the Fourth Proportional to 1,307.20, 1,802.32 and 864.32

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Solution

The fourth proportional to 1,307.20, 1,802.32 and 864.32 is: 1,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.20 : 1,802.32 = 864.32 : x
  2. Step 2: Convert to fraction form
    1,307.20/1,802.32 = 864.32/x
  3. Step 3: Cross multiply
    1,307.20x = 1,802.32 × 864.32
  4. Step 4: Simplify right side
    1,307.20x = 1,557,781.22
  5. Step 5: Solve for x
    x = 1,557,781.22/1,307.20
  6. Step 6: Final answer
    x = 1,191.69

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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.