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Finding the Fourth Proportional to 1,495.23, 2,242.56 and 455.04

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Solution

The fourth proportional to 1,495.23, 2,242.56 and 455.04 is: 682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.23 : 2,242.56 = 455.04 : x
  2. Step 2: Convert to fraction form
    1,495.23/2,242.56 = 455.04/x
  3. Step 3: Cross multiply
    1,495.23x = 2,242.56 × 455.04
  4. Step 4: Simplify right side
    1,495.23x = 1,020,454.50
  5. Step 5: Solve for x
    x = 1,020,454.50/1,495.23
  6. Step 6: Final answer
    x = 682.47

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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.