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Finding the Fourth Proportional to 1,160.42, 1,740.63 and 294.80

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Solution

The fourth proportional to 1,160.42, 1,740.63 and 294.80 is: 442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.42 : 1,740.63 = 294.80 : x
  2. Step 2: Convert to fraction form
    1,160.42/1,740.63 = 294.80/x
  3. Step 3: Cross multiply
    1,160.42x = 1,740.63 × 294.80
  4. Step 4: Simplify right side
    1,160.42x = 513,137.72
  5. Step 5: Solve for x
    x = 513,137.72/1,160.42
  6. Step 6: Final answer
    x = 442.20

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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.