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Finding the Fourth Proportional to 1,573.74, 2,360.61 and 478.11

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Solution

The fourth proportional to 1,573.74, 2,360.61 and 478.11 is: 717.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.74 : 2,360.61 = 478.11 : x
  2. Step 2: Convert to fraction form
    1,573.74/2,360.61 = 478.11/x
  3. Step 3: Cross multiply
    1,573.74x = 2,360.61 × 478.11
  4. Step 4: Simplify right side
    1,573.74x = 1,128,631.25
  5. Step 5: Solve for x
    x = 1,128,631.25/1,573.74
  6. Step 6: Final answer
    x = 717.17

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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.