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Finding the Fourth Proportional to 1,003.96, 1,506.20 and 354.76

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Solution

The fourth proportional to 1,003.96, 1,506.20 and 354.76 is: 532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.96 : 1,506.20 = 354.76 : x
  2. Step 2: Convert to fraction form
    1,003.96/1,506.20 = 354.76/x
  3. Step 3: Cross multiply
    1,003.96x = 1,506.20 × 354.76
  4. Step 4: Simplify right side
    1,003.96x = 534,339.51
  5. Step 5: Solve for x
    x = 534,339.51/1,003.96
  6. Step 6: Final answer
    x = 532.23

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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.