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Finding the Fourth Proportional to 1,406.86, 1,941.08 and 909.79

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Solution

The fourth proportional to 1,406.86, 1,941.08 and 909.79 is: 1,255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.86 : 1,941.08 = 909.79 : x
  2. Step 2: Convert to fraction form
    1,406.86/1,941.08 = 909.79/x
  3. Step 3: Cross multiply
    1,406.86x = 1,941.08 × 909.79
  4. Step 4: Simplify right side
    1,406.86x = 1,765,965.77
  5. Step 5: Solve for x
    x = 1,765,965.77/1,406.86
  6. Step 6: Final answer
    x = 1,255.26

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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.