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Finding the Fourth Proportional to 1,585.96, 2,378.74 and 490.24

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Solution

The fourth proportional to 1,585.96, 2,378.74 and 490.24 is: 735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.96 : 2,378.74 = 490.24 : x
  2. Step 2: Convert to fraction form
    1,585.96/2,378.74 = 490.24/x
  3. Step 3: Cross multiply
    1,585.96x = 2,378.74 × 490.24
  4. Step 4: Simplify right side
    1,585.96x = 1,166,153.50
  5. Step 5: Solve for x
    x = 1,166,153.50/1,585.96
  6. Step 6: Final answer
    x = 735.30

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1.5x scale

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.