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Finding the Fourth Proportional to 1,535.38, 2,303.31 and 509.62

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Solution

The fourth proportional to 1,535.38, 2,303.31 and 509.62 is: 764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.38 : 2,303.31 = 509.62 : x
  2. Step 2: Convert to fraction form
    1,535.38/2,303.31 = 509.62/x
  3. Step 3: Cross multiply
    1,535.38x = 2,303.31 × 509.62
  4. Step 4: Simplify right side
    1,535.38x = 1,173,812.84
  5. Step 5: Solve for x
    x = 1,173,812.84/1,535.38
  6. Step 6: Final answer
    x = 764.51

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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.