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Finding the Fourth Proportional to 1,114.69, 1,534.75 and 981.82

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Solution

The fourth proportional to 1,114.69, 1,534.75 and 981.82 is: 1,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.69 : 1,534.75 = 981.82 : x
  2. Step 2: Convert to fraction form
    1,114.69/1,534.75 = 981.82/x
  3. Step 3: Cross multiply
    1,114.69x = 1,534.75 × 981.82
  4. Step 4: Simplify right side
    1,114.69x = 1,506,848.25
  5. Step 5: Solve for x
    x = 1,506,848.25/1,114.69
  6. Step 6: Final answer
    x = 1,351.81

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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.