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Finding the Fourth Proportional to 975.27, 1,455.51 and 935.58

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Solution

The fourth proportional to 975.27, 1,455.51 and 935.58 is: 1,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.27 : 1,455.51 = 935.58 : x
  2. Step 2: Convert to fraction form
    975.27/1,455.51 = 935.58/x
  3. Step 3: Cross multiply
    975.27x = 1,455.51 × 935.58
  4. Step 4: Simplify right side
    975.27x = 1,361,746.05
  5. Step 5: Solve for x
    x = 1,361,746.05/975.27
  6. Step 6: Final answer
    x = 1,396.28

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1.5x scale

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.