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Finding the Fourth Proportional to 1,706.58, 2,556.30 and 883.07

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Solution

The fourth proportional to 1,706.58, 2,556.30 and 883.07 is: 1,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.58 : 2,556.30 = 883.07 : x
  2. Step 2: Convert to fraction form
    1,706.58/2,556.30 = 883.07/x
  3. Step 3: Cross multiply
    1,706.58x = 2,556.30 × 883.07
  4. Step 4: Simplify right side
    1,706.58x = 2,257,391.84
  5. Step 5: Solve for x
    x = 2,257,391.84/1,706.58
  6. Step 6: Final answer
    x = 1,322.76

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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.