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Finding the Fourth Proportional to 1,284.83, 1,773.08 and 695.38

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Solution

The fourth proportional to 1,284.83, 1,773.08 and 695.38 is: 959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.83 : 1,773.08 = 695.38 : x
  2. Step 2: Convert to fraction form
    1,284.83/1,773.08 = 695.38/x
  3. Step 3: Cross multiply
    1,284.83x = 1,773.08 × 695.38
  4. Step 4: Simplify right side
    1,284.83x = 1,232,955.11
  5. Step 5: Solve for x
    x = 1,232,955.11/1,284.83
  6. Step 6: Final answer
    x = 959.63

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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.