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Finding the Fourth Proportional to 1,509.81, 2,265.04 and 469.79

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Solution

The fourth proportional to 1,509.81, 2,265.04 and 469.79 is: 704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.81 : 2,265.04 = 469.79 : x
  2. Step 2: Convert to fraction form
    1,509.81/2,265.04 = 469.79/x
  3. Step 3: Cross multiply
    1,509.81x = 2,265.04 × 469.79
  4. Step 4: Simplify right side
    1,509.81x = 1,064,097.63
  5. Step 5: Solve for x
    x = 1,064,097.63/1,509.81
  6. Step 6: Final answer
    x = 704.79

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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.