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Finding the Fourth Proportional to 1,293.58, 1,784.97 and 734.10

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Solution

The fourth proportional to 1,293.58, 1,784.97 and 734.10 is: 1,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.58 : 1,784.97 = 734.10 : x
  2. Step 2: Convert to fraction form
    1,293.58/1,784.97 = 734.10/x
  3. Step 3: Cross multiply
    1,293.58x = 1,784.97 × 734.10
  4. Step 4: Simplify right side
    1,293.58x = 1,310,340.12
  5. Step 5: Solve for x
    x = 1,310,340.12/1,293.58
  6. Step 6: Final answer
    x = 1,012.96

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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.