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Finding the Fourth Proportional to 1,192.58, 1,645.92 and 695.24

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Solution

The fourth proportional to 1,192.58, 1,645.92 and 695.24 is: 959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.58 : 1,645.92 = 695.24 : x
  2. Step 2: Convert to fraction form
    1,192.58/1,645.92 = 695.24/x
  3. Step 3: Cross multiply
    1,192.58x = 1,645.92 × 695.24
  4. Step 4: Simplify right side
    1,192.58x = 1,144,309.42
  5. Step 5: Solve for x
    x = 1,144,309.42/1,192.58
  6. Step 6: Final answer
    x = 959.52

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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.