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Finding the Fourth Proportional to 1,585.89, 2,378.61 and 415.98

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Solution

The fourth proportional to 1,585.89, 2,378.61 and 415.98 is: 623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.89 : 2,378.61 = 415.98 : x
  2. Step 2: Convert to fraction form
    1,585.89/2,378.61 = 415.98/x
  3. Step 3: Cross multiply
    1,585.89x = 2,378.61 × 415.98
  4. Step 4: Simplify right side
    1,585.89x = 989,454.19
  5. Step 5: Solve for x
    x = 989,454.19/1,585.89
  6. Step 6: Final answer
    x = 623.91

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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.