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Finding the Fourth Proportional to 1,154.18, 1,730.16 and 496.53

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Solution

The fourth proportional to 1,154.18, 1,730.16 and 496.53 is: 744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.18 : 1,730.16 = 496.53 : x
  2. Step 2: Convert to fraction form
    1,154.18/1,730.16 = 496.53/x
  3. Step 3: Cross multiply
    1,154.18x = 1,730.16 × 496.53
  4. Step 4: Simplify right side
    1,154.18x = 859,076.34
  5. Step 5: Solve for x
    x = 859,076.34/1,154.18
  6. Step 6: Final answer
    x = 744.32

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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.