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Finding the Fourth Proportional to 1,230.16, 1,696.76 and 1,154.64

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Solution

The fourth proportional to 1,230.16, 1,696.76 and 1,154.64 is: 1,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.16 : 1,696.76 = 1,154.64 : x
  2. Step 2: Convert to fraction form
    1,230.16/1,696.76 = 1,154.64/x
  3. Step 3: Cross multiply
    1,230.16x = 1,696.76 × 1,154.64
  4. Step 4: Simplify right side
    1,230.16x = 1,959,146.97
  5. Step 5: Solve for x
    x = 1,959,146.97/1,230.16
  6. Step 6: Final answer
    x = 1,592.60

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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.