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Finding the Fourth Proportional to 1,094.88, 1,510.50 and 722.05

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Solution

The fourth proportional to 1,094.88, 1,510.50 and 722.05 is: 996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.88 : 1,510.50 = 722.05 : x
  2. Step 2: Convert to fraction form
    1,094.88/1,510.50 = 722.05/x
  3. Step 3: Cross multiply
    1,094.88x = 1,510.50 × 722.05
  4. Step 4: Simplify right side
    1,094.88x = 1,090,656.53
  5. Step 5: Solve for x
    x = 1,090,656.53/1,094.88
  6. Step 6: Final answer
    x = 996.14

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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.