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Finding the Fourth Proportional to 1,602.08, 2,403.76 and 576.16

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Solution

The fourth proportional to 1,602.08, 2,403.76 and 576.16 is: 864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.08 : 2,403.76 = 576.16 : x
  2. Step 2: Convert to fraction form
    1,602.08/2,403.76 = 576.16/x
  3. Step 3: Cross multiply
    1,602.08x = 2,403.76 × 576.16
  4. Step 4: Simplify right side
    1,602.08x = 1,384,950.36
  5. Step 5: Solve for x
    x = 1,384,950.36/1,602.08
  6. Step 6: Final answer
    x = 864.47

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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.