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Finding the Fourth Proportional to 1,585.64, 2,378.70 and 490.20

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Solution

The fourth proportional to 1,585.64, 2,378.70 and 490.20 is: 735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.64 : 2,378.70 = 490.20 : x
  2. Step 2: Convert to fraction form
    1,585.64/2,378.70 = 490.20/x
  3. Step 3: Cross multiply
    1,585.64x = 2,378.70 × 490.20
  4. Step 4: Simplify right side
    1,585.64x = 1,166,038.74
  5. Step 5: Solve for x
    x = 1,166,038.74/1,585.64
  6. Step 6: Final answer
    x = 735.37

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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.