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Finding the Fourth Proportional to 1,160.12, 1,740.22 and 457.31

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Solution

The fourth proportional to 1,160.12, 1,740.22 and 457.31 is: 685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.12 : 1,740.22 = 457.31 : x
  2. Step 2: Convert to fraction form
    1,160.12/1,740.22 = 457.31/x
  3. Step 3: Cross multiply
    1,160.12x = 1,740.22 × 457.31
  4. Step 4: Simplify right side
    1,160.12x = 795,823.22
  5. Step 5: Solve for x
    x = 795,823.22/1,160.12
  6. Step 6: Final answer
    x = 685.98

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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.