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Finding the Fourth Proportional to 1,305.90, 1,957.74 and 757.42

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Solution

The fourth proportional to 1,305.90, 1,957.74 and 757.42 is: 1,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.90 : 1,957.74 = 757.42 : x
  2. Step 2: Convert to fraction form
    1,305.90/1,957.74 = 757.42/x
  3. Step 3: Cross multiply
    1,305.90x = 1,957.74 × 757.42
  4. Step 4: Simplify right side
    1,305.90x = 1,482,831.43
  5. Step 5: Solve for x
    x = 1,482,831.43/1,305.90
  6. Step 6: Final answer
    x = 1,135.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.