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Finding the Fourth Proportional to 1,027.61, 1,416.86 and 713.14

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Solution

The fourth proportional to 1,027.61, 1,416.86 and 713.14 is: 983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.61 : 1,416.86 = 713.14 : x
  2. Step 2: Convert to fraction form
    1,027.61/1,416.86 = 713.14/x
  3. Step 3: Cross multiply
    1,027.61x = 1,416.86 × 713.14
  4. Step 4: Simplify right side
    1,027.61x = 1,010,419.54
  5. Step 5: Solve for x
    x = 1,010,419.54/1,027.61
  6. Step 6: Final answer
    x = 983.28

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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.