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Finding the Fourth Proportional to 1,270.68, 1,753.44 and 711.14

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Solution

The fourth proportional to 1,270.68, 1,753.44 and 711.14 is: 981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.68 : 1,753.44 = 711.14 : x
  2. Step 2: Convert to fraction form
    1,270.68/1,753.44 = 711.14/x
  3. Step 3: Cross multiply
    1,270.68x = 1,753.44 × 711.14
  4. Step 4: Simplify right side
    1,270.68x = 1,246,941.32
  5. Step 5: Solve for x
    x = 1,246,941.32/1,270.68
  6. Step 6: Final answer
    x = 981.32

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Half scale
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Double scale
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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.