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Finding the Fourth Proportional to 1,168.92, 1,613.84 and 776.07

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Solution

The fourth proportional to 1,168.92, 1,613.84 and 776.07 is: 1,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.92 : 1,613.84 = 776.07 : x
  2. Step 2: Convert to fraction form
    1,168.92/1,613.84 = 776.07/x
  3. Step 3: Cross multiply
    1,168.92x = 1,613.84 × 776.07
  4. Step 4: Simplify right side
    1,168.92x = 1,252,448.93
  5. Step 5: Solve for x
    x = 1,252,448.93/1,168.92
  6. Step 6: Final answer
    x = 1,071.46

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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.