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Finding the Fourth Proportional to 1,233.08, 1,702.48 and 1,154.64

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Solution

The fourth proportional to 1,233.08, 1,702.48 and 1,154.64 is: 1,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.08 : 1,702.48 = 1,154.64 : x
  2. Step 2: Convert to fraction form
    1,233.08/1,702.48 = 1,154.64/x
  3. Step 3: Cross multiply
    1,233.08x = 1,702.48 × 1,154.64
  4. Step 4: Simplify right side
    1,233.08x = 1,965,751.51
  5. Step 5: Solve for x
    x = 1,965,751.51/1,233.08
  6. Step 6: Final answer
    x = 1,594.18

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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.