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Finding the Fourth Proportional to 972.73, 1,457.96 and 356.04

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Solution

The fourth proportional to 972.73, 1,457.96 and 356.04 is: 533.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.73 : 1,457.96 = 356.04 : x
  2. Step 2: Convert to fraction form
    972.73/1,457.96 = 356.04/x
  3. Step 3: Cross multiply
    972.73x = 1,457.96 × 356.04
  4. Step 4: Simplify right side
    972.73x = 519,090.30
  5. Step 5: Solve for x
    x = 519,090.30/972.73
  6. Step 6: Final answer
    x = 533.64

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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.