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Finding the Fourth Proportional to 1,505.75, 2,079.22 and 947.16

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Solution

The fourth proportional to 1,505.75, 2,079.22 and 947.16 is: 1,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.75 : 2,079.22 = 947.16 : x
  2. Step 2: Convert to fraction form
    1,505.75/2,079.22 = 947.16/x
  3. Step 3: Cross multiply
    1,505.75x = 2,079.22 × 947.16
  4. Step 4: Simplify right side
    1,505.75x = 1,969,343.62
  5. Step 5: Solve for x
    x = 1,969,343.62/1,505.75
  6. Step 6: Final answer
    x = 1,307.88

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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.