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Finding the Fourth Proportional to 695.18, 1,036.14 and 656.26

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Solution

The fourth proportional to 695.18, 1,036.14 and 656.26 is: 978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.18 : 1,036.14 = 656.26 : x
  2. Step 2: Convert to fraction form
    695.18/1,036.14 = 656.26/x
  3. Step 3: Cross multiply
    695.18x = 1,036.14 × 656.26
  4. Step 4: Simplify right side
    695.18x = 679,977.24
  5. Step 5: Solve for x
    x = 679,977.24/695.18
  6. Step 6: Final answer
    x = 978.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.