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Finding the Fourth Proportional to 1,154.20, 1,730.90 and 332.26

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Solution

The fourth proportional to 1,154.20, 1,730.90 and 332.26 is: 498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.20 : 1,730.90 = 332.26 : x
  2. Step 2: Convert to fraction form
    1,154.20/1,730.90 = 332.26/x
  3. Step 3: Cross multiply
    1,154.20x = 1,730.90 × 332.26
  4. Step 4: Simplify right side
    1,154.20x = 575,108.83
  5. Step 5: Solve for x
    x = 575,108.83/1,154.20
  6. Step 6: Final answer
    x = 498.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.