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Finding the Fourth Proportional to 1,097.10, 1,510.56 and 930.96

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Solution

The fourth proportional to 1,097.10, 1,510.56 and 930.96 is: 1,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.10 : 1,510.56 = 930.96 : x
  2. Step 2: Convert to fraction form
    1,097.10/1,510.56 = 930.96/x
  3. Step 3: Cross multiply
    1,097.10x = 1,510.56 × 930.96
  4. Step 4: Simplify right side
    1,097.10x = 1,406,270.94
  5. Step 5: Solve for x
    x = 1,406,270.94/1,097.10
  6. Step 6: Final answer
    x = 1,281.81

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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.