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Finding the Fourth Proportional to 1,355.32, 1,869.73 and 957.57

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Solution

The fourth proportional to 1,355.32, 1,869.73 and 957.57 is: 1,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.32 : 1,869.73 = 957.57 : x
  2. Step 2: Convert to fraction form
    1,355.32/1,869.73 = 957.57/x
  3. Step 3: Cross multiply
    1,355.32x = 1,869.73 × 957.57
  4. Step 4: Simplify right side
    1,355.32x = 1,790,397.36
  5. Step 5: Solve for x
    x = 1,790,397.36/1,355.32
  6. Step 6: Final answer
    x = 1,321.01

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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.