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Finding the Fourth Proportional to 1,573.70, 2,360.61 and 478.07

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Solution

The fourth proportional to 1,573.70, 2,360.61 and 478.07 is: 717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.70 : 2,360.61 = 478.07 : x
  2. Step 2: Convert to fraction form
    1,573.70/2,360.61 = 478.07/x
  3. Step 3: Cross multiply
    1,573.70x = 2,360.61 × 478.07
  4. Step 4: Simplify right side
    1,573.70x = 1,128,525.02
  5. Step 5: Solve for x
    x = 1,128,525.02/1,573.70
  6. Step 6: Final answer
    x = 717.12

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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.