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Finding the Fourth Proportional to 1,509.93, 2,265.21 and 469.89

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Solution

The fourth proportional to 1,509.93, 2,265.21 and 469.89 is: 704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.93 : 2,265.21 = 469.89 : x
  2. Step 2: Convert to fraction form
    1,509.93/2,265.21 = 469.89/x
  3. Step 3: Cross multiply
    1,509.93x = 2,265.21 × 469.89
  4. Step 4: Simplify right side
    1,509.93x = 1,064,399.53
  5. Step 5: Solve for x
    x = 1,064,399.53/1,509.93
  6. Step 6: Final answer
    x = 704.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.