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Finding the Fourth Proportional to 972.10, 1,457.52 and 606.34

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Solution

The fourth proportional to 972.10, 1,457.52 and 606.34 is: 909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.10 : 1,457.52 = 606.34 : x
  2. Step 2: Convert to fraction form
    972.10/1,457.52 = 606.34/x
  3. Step 3: Cross multiply
    972.10x = 1,457.52 × 606.34
  4. Step 4: Simplify right side
    972.10x = 883,752.68
  5. Step 5: Solve for x
    x = 883,752.68/972.10
  6. Step 6: Final answer
    x = 909.12

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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.