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Finding the Fourth Proportional to 1,390.23, 1,917.14 and 935.08

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Solution

The fourth proportional to 1,390.23, 1,917.14 and 935.08 is: 1,289.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.23 : 1,917.14 = 935.08 : x
  2. Step 2: Convert to fraction form
    1,390.23/1,917.14 = 935.08/x
  3. Step 3: Cross multiply
    1,390.23x = 1,917.14 × 935.08
  4. Step 4: Simplify right side
    1,390.23x = 1,792,669.80
  5. Step 5: Solve for x
    x = 1,792,669.80/1,390.23
  6. Step 6: Final answer
    x = 1,289.48

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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.