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Finding the Fourth Proportional to 1,206.77, 1,665.63 and 788.16

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Solution

The fourth proportional to 1,206.77, 1,665.63 and 788.16 is: 1,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.77 : 1,665.63 = 788.16 : x
  2. Step 2: Convert to fraction form
    1,206.77/1,665.63 = 788.16/x
  3. Step 3: Cross multiply
    1,206.77x = 1,665.63 × 788.16
  4. Step 4: Simplify right side
    1,206.77x = 1,312,782.94
  5. Step 5: Solve for x
    x = 1,312,782.94/1,206.77
  6. Step 6: Final answer
    x = 1,087.85

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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.