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Finding the Fourth Proportional to 975.83, 1,345.30 and 660.60

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Solution

The fourth proportional to 975.83, 1,345.30 and 660.60 is: 910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.83 : 1,345.30 = 660.60 : x
  2. Step 2: Convert to fraction form
    975.83/1,345.30 = 660.60/x
  3. Step 3: Cross multiply
    975.83x = 1,345.30 × 660.60
  4. Step 4: Simplify right side
    975.83x = 888,703.53
  5. Step 5: Solve for x
    x = 888,703.53/975.83
  6. Step 6: Final answer
    x = 910.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.