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Finding the Fourth Proportional to 1,291.11, 1,782.06 and 826.17

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Solution

The fourth proportional to 1,291.11, 1,782.06 and 826.17 is: 1,140.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.11 : 1,782.06 = 826.17 : x
  2. Step 2: Convert to fraction form
    1,291.11/1,782.06 = 826.17/x
  3. Step 3: Cross multiply
    1,291.11x = 1,782.06 × 826.17
  4. Step 4: Simplify right side
    1,291.11x = 1,472,284.51
  5. Step 5: Solve for x
    x = 1,472,284.51/1,291.11
  6. Step 6: Final answer
    x = 1,140.32

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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.