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Finding the Fourth Proportional to 1,573.56, 2,360.28 and 419.32

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Solution

The fourth proportional to 1,573.56, 2,360.28 and 419.32 is: 628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.56 : 2,360.28 = 419.32 : x
  2. Step 2: Convert to fraction form
    1,573.56/2,360.28 = 419.32/x
  3. Step 3: Cross multiply
    1,573.56x = 2,360.28 × 419.32
  4. Step 4: Simplify right side
    1,573.56x = 989,712.61
  5. Step 5: Solve for x
    x = 989,712.61/1,573.56
  6. Step 6: Final answer
    x = 628.96

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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.