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Finding the Fourth Proportional to 1,274.96, 1,913.16 and 689.95

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Solution

The fourth proportional to 1,274.96, 1,913.16 and 689.95 is: 1,035.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.96 : 1,913.16 = 689.95 : x
  2. Step 2: Convert to fraction form
    1,274.96/1,913.16 = 689.95/x
  3. Step 3: Cross multiply
    1,274.96x = 1,913.16 × 689.95
  4. Step 4: Simplify right side
    1,274.96x = 1,319,984.74
  5. Step 5: Solve for x
    x = 1,319,984.74/1,274.96
  6. Step 6: Final answer
    x = 1,035.31

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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.