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Finding the Fourth Proportional to 1,292.88, 1,784.16 and 703.43

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Solution

The fourth proportional to 1,292.88, 1,784.16 and 703.43 is: 970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.88 : 1,784.16 = 703.43 : x
  2. Step 2: Convert to fraction form
    1,292.88/1,784.16 = 703.43/x
  3. Step 3: Cross multiply
    1,292.88x = 1,784.16 × 703.43
  4. Step 4: Simplify right side
    1,292.88x = 1,255,031.67
  5. Step 5: Solve for x
    x = 1,255,031.67/1,292.88
  6. Step 6: Final answer
    x = 970.73

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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.