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Finding the Fourth Proportional to 1,130.22, 1,559.75 and 688.14

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Solution

The fourth proportional to 1,130.22, 1,559.75 and 688.14 is: 949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.22 : 1,559.75 = 688.14 : x
  2. Step 2: Convert to fraction form
    1,130.22/1,559.75 = 688.14/x
  3. Step 3: Cross multiply
    1,130.22x = 1,559.75 × 688.14
  4. Step 4: Simplify right side
    1,130.22x = 1,073,322.92
  5. Step 5: Solve for x
    x = 1,073,322.92/1,130.22
  6. Step 6: Final answer
    x = 949.66

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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.