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Finding the Fourth Proportional to 1,756.16, 2,633.04 and 781.76

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Solution

The fourth proportional to 1,756.16, 2,633.04 and 781.76 is: 1,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.16 : 2,633.04 = 781.76 : x
  2. Step 2: Convert to fraction form
    1,756.16/2,633.04 = 781.76/x
  3. Step 3: Cross multiply
    1,756.16x = 2,633.04 × 781.76
  4. Step 4: Simplify right side
    1,756.16x = 2,058,405.35
  5. Step 5: Solve for x
    x = 2,058,405.35/1,756.16
  6. Step 6: Final answer
    x = 1,172.11

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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.