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Finding the Fourth Proportional to 972.99, 1,458.81 and 387.54

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Solution

The fourth proportional to 972.99, 1,458.81 and 387.54 is: 581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.99 : 1,458.81 = 387.54 : x
  2. Step 2: Convert to fraction form
    972.99/1,458.81 = 387.54/x
  3. Step 3: Cross multiply
    972.99x = 1,458.81 × 387.54
  4. Step 4: Simplify right side
    972.99x = 565,347.23
  5. Step 5: Solve for x
    x = 565,347.23/972.99
  6. Step 6: Final answer
    x = 581.04

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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.