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Finding the Fourth Proportional to 1,602.56, 2,403.68 and 576.64

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Solution

The fourth proportional to 1,602.56, 2,403.68 and 576.64 is: 864.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.56 : 2,403.68 = 576.64 : x
  2. Step 2: Convert to fraction form
    1,602.56/2,403.68 = 576.64/x
  3. Step 3: Cross multiply
    1,602.56x = 2,403.68 × 576.64
  4. Step 4: Simplify right side
    1,602.56x = 1,386,058.04
  5. Step 5: Solve for x
    x = 1,386,058.04/1,602.56
  6. Step 6: Final answer
    x = 864.90

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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.