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Finding the Fourth Proportional to 1,430.58, 2,144.48 and 737.58

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Solution

The fourth proportional to 1,430.58, 2,144.48 and 737.58 is: 1,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.58 : 2,144.48 = 737.58 : x
  2. Step 2: Convert to fraction form
    1,430.58/2,144.48 = 737.58/x
  3. Step 3: Cross multiply
    1,430.58x = 2,144.48 × 737.58
  4. Step 4: Simplify right side
    1,430.58x = 1,581,725.56
  5. Step 5: Solve for x
    x = 1,581,725.56/1,430.58
  6. Step 6: Final answer
    x = 1,105.65

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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.