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Finding the Fourth Proportional to 1,293.91, 1,785.29 and 734.25

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Solution

The fourth proportional to 1,293.91, 1,785.29 and 734.25 is: 1,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.91 : 1,785.29 = 734.25 : x
  2. Step 2: Convert to fraction form
    1,293.91/1,785.29 = 734.25/x
  3. Step 3: Cross multiply
    1,293.91x = 1,785.29 × 734.25
  4. Step 4: Simplify right side
    1,293.91x = 1,310,852.21
  5. Step 5: Solve for x
    x = 1,310,852.21/1,293.91
  6. Step 6: Final answer
    x = 1,013.10

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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.