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Finding the Fourth Proportional to 1,160.54, 1,740.69 and 294.87

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Solution

The fourth proportional to 1,160.54, 1,740.69 and 294.87 is: 442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.54 : 1,740.69 = 294.87 : x
  2. Step 2: Convert to fraction form
    1,160.54/1,740.69 = 294.87/x
  3. Step 3: Cross multiply
    1,160.54x = 1,740.69 × 294.87
  4. Step 4: Simplify right side
    1,160.54x = 513,277.26
  5. Step 5: Solve for x
    x = 513,277.26/1,160.54
  6. Step 6: Final answer
    x = 442.28

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Why These Related Problems?

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