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Finding the Fourth Proportional to 975.40, 1,345.74 and 695.68

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Solution

The fourth proportional to 975.40, 1,345.74 and 695.68 is: 959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.40 : 1,345.74 = 695.68 : x
  2. Step 2: Convert to fraction form
    975.40/1,345.74 = 695.68/x
  3. Step 3: Cross multiply
    975.40x = 1,345.74 × 695.68
  4. Step 4: Simplify right side
    975.40x = 936,204.40
  5. Step 5: Solve for x
    x = 936,204.40/975.40
  6. Step 6: Final answer
    x = 959.82

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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.