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Finding the Fourth Proportional to 1,160.51, 1,740.74 and 294.83

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Solution

The fourth proportional to 1,160.51, 1,740.74 and 294.83 is: 442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.51 : 1,740.74 = 294.83 : x
  2. Step 2: Convert to fraction form
    1,160.51/1,740.74 = 294.83/x
  3. Step 3: Cross multiply
    1,160.51x = 1,740.74 × 294.83
  4. Step 4: Simplify right side
    1,160.51x = 513,212.20
  5. Step 5: Solve for x
    x = 513,212.20/1,160.51
  6. Step 6: Final answer
    x = 442.23

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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.