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Finding the Fourth Proportional to 1,573.37, 2,360.15 and 477.82

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Solution

The fourth proportional to 1,573.37, 2,360.15 and 477.82 is: 716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.37 : 2,360.15 = 477.82 : x
  2. Step 2: Convert to fraction form
    1,573.37/2,360.15 = 477.82/x
  3. Step 3: Cross multiply
    1,573.37x = 2,360.15 × 477.82
  4. Step 4: Simplify right side
    1,573.37x = 1,127,726.87
  5. Step 5: Solve for x
    x = 1,127,726.87/1,573.37
  6. Step 6: Final answer
    x = 716.76

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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.