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Finding the Fourth Proportional to 646.36, 969.64 and 611.35

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Solution

The fourth proportional to 646.36, 969.64 and 611.35 is: 917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.36 : 969.64 = 611.35 : x
  2. Step 2: Convert to fraction form
    646.36/969.64 = 611.35/x
  3. Step 3: Cross multiply
    646.36x = 969.64 × 611.35
  4. Step 4: Simplify right side
    646.36x = 592,785.46
  5. Step 5: Solve for x
    x = 592,785.46/646.36
  6. Step 6: Final answer
    x = 917.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.