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Finding the Fourth Proportional to 1,292.90, 1,784.19 and 703.43

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Solution

The fourth proportional to 1,292.90, 1,784.19 and 703.43 is: 970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.90 : 1,784.19 = 703.43 : x
  2. Step 2: Convert to fraction form
    1,292.90/1,784.19 = 703.43/x
  3. Step 3: Cross multiply
    1,292.90x = 1,784.19 × 703.43
  4. Step 4: Simplify right side
    1,292.90x = 1,255,057.23
  5. Step 5: Solve for x
    x = 1,255,057.23/1,292.90
  6. Step 6: Final answer
    x = 970.73

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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.