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Finding the Fourth Proportional to 1,585.98, 2,378.80 and 416.10

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Solution

The fourth proportional to 1,585.98, 2,378.80 and 416.10 is: 624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.98 : 2,378.80 = 416.10 : x
  2. Step 2: Convert to fraction form
    1,585.98/2,378.80 = 416.10/x
  3. Step 3: Cross multiply
    1,585.98x = 2,378.80 × 416.10
  4. Step 4: Simplify right side
    1,585.98x = 989,823.92
  5. Step 5: Solve for x
    x = 989,823.92/1,585.98
  6. Step 6: Final answer
    x = 624.11

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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.