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Finding the Fourth Proportional to 1,307.64, 1,804.66 and 718.28

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Solution

The fourth proportional to 1,307.64, 1,804.66 and 718.28 is: 991.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.64 : 1,804.66 = 718.28 : x
  2. Step 2: Convert to fraction form
    1,307.64/1,804.66 = 718.28/x
  3. Step 3: Cross multiply
    1,307.64x = 1,804.66 × 718.28
  4. Step 4: Simplify right side
    1,307.64x = 1,296,251.18
  5. Step 5: Solve for x
    x = 1,296,251.18/1,307.64
  6. Step 6: Final answer
    x = 991.29

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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.