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Finding the Fourth Proportional to 1,574.76, 2,362.14 and 548.76

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Solution

The fourth proportional to 1,574.76, 2,362.14 and 548.76 is: 823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.76 : 2,362.14 = 548.76 : x
  2. Step 2: Convert to fraction form
    1,574.76/2,362.14 = 548.76/x
  3. Step 3: Cross multiply
    1,574.76x = 2,362.14 × 548.76
  4. Step 4: Simplify right side
    1,574.76x = 1,296,247.95
  5. Step 5: Solve for x
    x = 1,296,247.95/1,574.76
  6. Step 6: Final answer
    x = 823.14

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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.