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Finding the Fourth Proportional to 918.54, 1,268.06 and 708.24

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Solution

The fourth proportional to 918.54, 1,268.06 and 708.24 is: 977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.54 : 1,268.06 = 708.24 : x
  2. Step 2: Convert to fraction form
    918.54/1,268.06 = 708.24/x
  3. Step 3: Cross multiply
    918.54x = 1,268.06 × 708.24
  4. Step 4: Simplify right side
    918.54x = 898,090.81
  5. Step 5: Solve for x
    x = 898,090.81/918.54
  6. Step 6: Final answer
    x = 977.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.