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Finding the Fourth Proportional to 972.05, 1,457.73 and 538.88

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Solution

The fourth proportional to 972.05, 1,457.73 and 538.88 is: 808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.05 : 1,457.73 = 538.88 : x
  2. Step 2: Convert to fraction form
    972.05/1,457.73 = 538.88/x
  3. Step 3: Cross multiply
    972.05x = 1,457.73 × 538.88
  4. Step 4: Simplify right side
    972.05x = 785,534.25
  5. Step 5: Solve for x
    x = 785,534.25/972.05
  6. Step 6: Final answer
    x = 808.13

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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.