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Finding the Fourth Proportional to 1,270.54, 1,903.14 and 652.36

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Solution

The fourth proportional to 1,270.54, 1,903.14 and 652.36 is: 977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.54 : 1,903.14 = 652.36 : x
  2. Step 2: Convert to fraction form
    1,270.54/1,903.14 = 652.36/x
  3. Step 3: Cross multiply
    1,270.54x = 1,903.14 × 652.36
  4. Step 4: Simplify right side
    1,270.54x = 1,241,532.41
  5. Step 5: Solve for x
    x = 1,241,532.41/1,270.54
  6. Step 6: Final answer
    x = 977.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.