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Finding the Fourth Proportional to 1,160.22, 1,740.36 and 930.57

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Solution

The fourth proportional to 1,160.22, 1,740.36 and 930.57 is: 1,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.22 : 1,740.36 = 930.57 : x
  2. Step 2: Convert to fraction form
    1,160.22/1,740.36 = 930.57/x
  3. Step 3: Cross multiply
    1,160.22x = 1,740.36 × 930.57
  4. Step 4: Simplify right side
    1,160.22x = 1,619,526.81
  5. Step 5: Solve for x
    x = 1,619,526.81/1,160.22
  6. Step 6: Final answer
    x = 1,395.88

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1.5x scale

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.