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Finding the Fourth Proportional to 1,444.62, 1,993.76 and 947.68

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Solution

The fourth proportional to 1,444.62, 1,993.76 and 947.68 is: 1,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.62 : 1,993.76 = 947.68 : x
  2. Step 2: Convert to fraction form
    1,444.62/1,993.76 = 947.68/x
  3. Step 3: Cross multiply
    1,444.62x = 1,993.76 × 947.68
  4. Step 4: Simplify right side
    1,444.62x = 1,889,446.48
  5. Step 5: Solve for x
    x = 1,889,446.48/1,444.62
  6. Step 6: Final answer
    x = 1,307.92

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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.