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Finding the Fourth Proportional to 1,284.53, 1,772.64 and 695.06

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Solution

The fourth proportional to 1,284.53, 1,772.64 and 695.06 is: 959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.53 : 1,772.64 = 695.06 : x
  2. Step 2: Convert to fraction form
    1,284.53/1,772.64 = 695.06/x
  3. Step 3: Cross multiply
    1,284.53x = 1,772.64 × 695.06
  4. Step 4: Simplify right side
    1,284.53x = 1,232,091.16
  5. Step 5: Solve for x
    x = 1,232,091.16/1,284.53
  6. Step 6: Final answer
    x = 959.18

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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.