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Finding the Fourth Proportional to 1,126.82, 1,554.01 and 707.22

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Solution

The fourth proportional to 1,126.82, 1,554.01 and 707.22 is: 975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.82 : 1,554.01 = 707.22 : x
  2. Step 2: Convert to fraction form
    1,126.82/1,554.01 = 707.22/x
  3. Step 3: Cross multiply
    1,126.82x = 1,554.01 × 707.22
  4. Step 4: Simplify right side
    1,126.82x = 1,099,025.18
  5. Step 5: Solve for x
    x = 1,099,025.18/1,126.82
  6. Step 6: Final answer
    x = 975.33

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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.