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Finding the Fourth Proportional to 1,573.85, 2,360.79 and 600.05

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Solution

The fourth proportional to 1,573.85, 2,360.79 and 600.05 is: 900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.85 : 2,360.79 = 600.05 : x
  2. Step 2: Convert to fraction form
    1,573.85/2,360.79 = 600.05/x
  3. Step 3: Cross multiply
    1,573.85x = 2,360.79 × 600.05
  4. Step 4: Simplify right side
    1,573.85x = 1,416,580.24
  5. Step 5: Solve for x
    x = 1,416,580.24/1,573.85
  6. Step 6: Final answer
    x = 900.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.