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Finding the Fourth Proportional to 1,576.66, 2,365.07 and 602.84

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Solution

The fourth proportional to 1,576.66, 2,365.07 and 602.84 is: 904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.66 : 2,365.07 = 602.84 : x
  2. Step 2: Convert to fraction form
    1,576.66/2,365.07 = 602.84/x
  3. Step 3: Cross multiply
    1,576.66x = 2,365.07 × 602.84
  4. Step 4: Simplify right side
    1,576.66x = 1,425,758.80
  5. Step 5: Solve for x
    x = 1,425,758.80/1,576.66
  6. Step 6: Final answer
    x = 904.29

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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.