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Finding the Fourth Proportional to 1,160.92, 1,740.93 and 467.35

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Solution

The fourth proportional to 1,160.92, 1,740.93 and 467.35 is: 700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.92 : 1,740.93 = 467.35 : x
  2. Step 2: Convert to fraction form
    1,160.92/1,740.93 = 467.35/x
  3. Step 3: Cross multiply
    1,160.92x = 1,740.93 × 467.35
  4. Step 4: Simplify right side
    1,160.92x = 813,623.92
  5. Step 5: Solve for x
    x = 813,623.92/1,160.92
  6. Step 6: Final answer
    x = 700.84

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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.