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Finding the Fourth Proportional to 1,264.10, 1,744.70 and 740.12

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Solution

The fourth proportional to 1,264.10, 1,744.70 and 740.12 is: 1,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.10 : 1,744.70 = 740.12 : x
  2. Step 2: Convert to fraction form
    1,264.10/1,744.70 = 740.12/x
  3. Step 3: Cross multiply
    1,264.10x = 1,744.70 × 740.12
  4. Step 4: Simplify right side
    1,264.10x = 1,291,274.94
  5. Step 5: Solve for x
    x = 1,291,274.94/1,264.10
  6. Step 6: Final answer
    x = 1,021.50

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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.