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Finding the Fourth Proportional to 1,576.71, 2,364.76 and 602.58

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Solution

The fourth proportional to 1,576.71, 2,364.76 and 602.58 is: 903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.71 : 2,364.76 = 602.58 : x
  2. Step 2: Convert to fraction form
    1,576.71/2,364.76 = 602.58/x
  3. Step 3: Cross multiply
    1,576.71x = 2,364.76 × 602.58
  4. Step 4: Simplify right side
    1,576.71x = 1,424,957.08
  5. Step 5: Solve for x
    x = 1,424,957.08/1,576.71
  6. Step 6: Final answer
    x = 903.75

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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.