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Finding the Fourth Proportional to 1,203.15, 1,660.47 and 705.54

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Solution

The fourth proportional to 1,203.15, 1,660.47 and 705.54 is: 973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.15 : 1,660.47 = 705.54 : x
  2. Step 2: Convert to fraction form
    1,203.15/1,660.47 = 705.54/x
  3. Step 3: Cross multiply
    1,203.15x = 1,660.47 × 705.54
  4. Step 4: Simplify right side
    1,203.15x = 1,171,528.00
  5. Step 5: Solve for x
    x = 1,171,528.00/1,203.15
  6. Step 6: Final answer
    x = 973.72

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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.