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Finding the Fourth Proportional to 947.70, 1,409.40 and 874.80

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Solution

The fourth proportional to 947.70, 1,409.40 and 874.80 is: 1,300.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.70 : 1,409.40 = 874.80 : x
  2. Step 2: Convert to fraction form
    947.70/1,409.40 = 874.80/x
  3. Step 3: Cross multiply
    947.70x = 1,409.40 × 874.80
  4. Step 4: Simplify right side
    947.70x = 1,232,943.12
  5. Step 5: Solve for x
    x = 1,232,943.12/947.70
  6. Step 6: Final answer
    x = 1,300.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.