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Finding the Fourth Proportional to 1,121.18, 1,547.10 and 722.66

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Solution

The fourth proportional to 1,121.18, 1,547.10 and 722.66 is: 997.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.18 : 1,547.10 = 722.66 : x
  2. Step 2: Convert to fraction form
    1,121.18/1,547.10 = 722.66/x
  3. Step 3: Cross multiply
    1,121.18x = 1,547.10 × 722.66
  4. Step 4: Simplify right side
    1,121.18x = 1,118,019.55
  5. Step 5: Solve for x
    x = 1,118,019.55/1,121.18
  6. Step 6: Final answer
    x = 997.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.