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Finding the Fourth Proportional to 1,192.81, 1,646.08 and 695.79

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Solution

The fourth proportional to 1,192.81, 1,646.08 and 695.79 is: 960.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.81 : 1,646.08 = 695.79 : x
  2. Step 2: Convert to fraction form
    1,192.81/1,646.08 = 695.79/x
  3. Step 3: Cross multiply
    1,192.81x = 1,646.08 × 695.79
  4. Step 4: Simplify right side
    1,192.81x = 1,145,326.00
  5. Step 5: Solve for x
    x = 1,145,326.00/1,192.81
  6. Step 6: Final answer
    x = 960.20

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1.5x scale

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.