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Finding the Fourth Proportional to 1,154.34, 1,730.16 and 606.78

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Solution

The fourth proportional to 1,154.34, 1,730.16 and 606.78 is: 909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.34 : 1,730.16 = 606.78 : x
  2. Step 2: Convert to fraction form
    1,154.34/1,730.16 = 606.78/x
  3. Step 3: Cross multiply
    1,154.34x = 1,730.16 × 606.78
  4. Step 4: Simplify right side
    1,154.34x = 1,049,826.48
  5. Step 5: Solve for x
    x = 1,049,826.48/1,154.34
  6. Step 6: Final answer
    x = 909.46

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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.