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Finding the Fourth Proportional to 1,047.70, 1,570.23 and 613.78

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Solution

The fourth proportional to 1,047.70, 1,570.23 and 613.78 is: 919.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.70 : 1,570.23 = 613.78 : x
  2. Step 2: Convert to fraction form
    1,047.70/1,570.23 = 613.78/x
  3. Step 3: Cross multiply
    1,047.70x = 1,570.23 × 613.78
  4. Step 4: Simplify right side
    1,047.70x = 963,775.77
  5. Step 5: Solve for x
    x = 963,775.77/1,047.70
  6. Step 6: Final answer
    x = 919.90

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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.