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Finding the Fourth Proportional to 1,366.14, 1,885.77 and 1,070.22

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Solution

The fourth proportional to 1,366.14, 1,885.77 and 1,070.22 is: 1,477.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.14 : 1,885.77 = 1,070.22 : x
  2. Step 2: Convert to fraction form
    1,366.14/1,885.77 = 1,070.22/x
  3. Step 3: Cross multiply
    1,366.14x = 1,885.77 × 1,070.22
  4. Step 4: Simplify right side
    1,366.14x = 2,018,188.77
  5. Step 5: Solve for x
    x = 2,018,188.77/1,366.14
  6. Step 6: Final answer
    x = 1,477.29

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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.