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Finding the Fourth Proportional to 1,707.73, 2,561.60 and 976.79

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Solution

The fourth proportional to 1,707.73, 2,561.60 and 976.79 is: 1,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.73 : 2,561.60 = 976.79 : x
  2. Step 2: Convert to fraction form
    1,707.73/2,561.60 = 976.79/x
  3. Step 3: Cross multiply
    1,707.73x = 2,561.60 × 976.79
  4. Step 4: Simplify right side
    1,707.73x = 2,502,147.24
  5. Step 5: Solve for x
    x = 2,502,147.24/1,707.73
  6. Step 6: Final answer
    x = 1,465.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.