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Finding the Fourth Proportional to 1,160.49, 1,600.93 and 718.23

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Solution

The fourth proportional to 1,160.49, 1,600.93 and 718.23 is: 990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.49 : 1,600.93 = 718.23 : x
  2. Step 2: Convert to fraction form
    1,160.49/1,600.93 = 718.23/x
  3. Step 3: Cross multiply
    1,160.49x = 1,600.93 × 718.23
  4. Step 4: Simplify right side
    1,160.49x = 1,149,824.36
  5. Step 5: Solve for x
    x = 1,149,824.36/1,160.49
  6. Step 6: Final answer
    x = 990.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.