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Finding the Fourth Proportional to 975.16, 1,345.46 and 660.58

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Solution

The fourth proportional to 975.16, 1,345.46 and 660.58 is: 911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.16 : 1,345.46 = 660.58 : x
  2. Step 2: Convert to fraction form
    975.16/1,345.46 = 660.58/x
  3. Step 3: Cross multiply
    975.16x = 1,345.46 × 660.58
  4. Step 4: Simplify right side
    975.16x = 888,783.97
  5. Step 5: Solve for x
    x = 888,783.97/975.16
  6. Step 6: Final answer
    x = 911.42

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1.5x scale

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.