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Finding the Fourth Proportional to 1,509.35, 2,263.93 and 455.14

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Solution

The fourth proportional to 1,509.35, 2,263.93 and 455.14 is: 682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.35 : 2,263.93 = 455.14 : x
  2. Step 2: Convert to fraction form
    1,509.35/2,263.93 = 455.14/x
  3. Step 3: Cross multiply
    1,509.35x = 2,263.93 × 455.14
  4. Step 4: Simplify right side
    1,509.35x = 1,030,398.30
  5. Step 5: Solve for x
    x = 1,030,398.30/1,509.35
  6. Step 6: Final answer
    x = 682.68

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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.