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Finding the Fourth Proportional to 1,192.96, 1,646.16 and 695.55

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Solution

The fourth proportional to 1,192.96, 1,646.16 and 695.55 is: 959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.96 : 1,646.16 = 695.55 : x
  2. Step 2: Convert to fraction form
    1,192.96/1,646.16 = 695.55/x
  3. Step 3: Cross multiply
    1,192.96x = 1,646.16 × 695.55
  4. Step 4: Simplify right side
    1,192.96x = 1,144,986.59
  5. Step 5: Solve for x
    x = 1,144,986.59/1,192.96
  6. Step 6: Final answer
    x = 959.79

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Half scale
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Double scale
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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.