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Finding the Fourth Proportional to 1,160.82, 1,602.33 and 695.07

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Solution

The fourth proportional to 1,160.82, 1,602.33 and 695.07 is: 959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.82 : 1,602.33 = 695.07 : x
  2. Step 2: Convert to fraction form
    1,160.82/1,602.33 = 695.07/x
  3. Step 3: Cross multiply
    1,160.82x = 1,602.33 × 695.07
  4. Step 4: Simplify right side
    1,160.82x = 1,113,731.51
  5. Step 5: Solve for x
    x = 1,113,731.51/1,160.82
  6. Step 6: Final answer
    x = 959.44

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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.