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Finding the Fourth Proportional to 1,027.07, 1,416.91 and 695.38

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Solution

The fourth proportional to 1,027.07, 1,416.91 and 695.38 is: 959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.07 : 1,416.91 = 695.38 : x
  2. Step 2: Convert to fraction form
    1,027.07/1,416.91 = 695.38/x
  3. Step 3: Cross multiply
    1,027.07x = 1,416.91 × 695.38
  4. Step 4: Simplify right side
    1,027.07x = 985,287.40
  5. Step 5: Solve for x
    x = 985,287.40/1,027.07
  6. Step 6: Final answer
    x = 959.32

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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.