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Finding the Fourth Proportional to 972.30, 1,457.91 and 857.01

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Solution

The fourth proportional to 972.30, 1,457.91 and 857.01 is: 1,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.30 : 1,457.91 = 857.01 : x
  2. Step 2: Convert to fraction form
    972.30/1,457.91 = 857.01/x
  3. Step 3: Cross multiply
    972.30x = 1,457.91 × 857.01
  4. Step 4: Simplify right side
    972.30x = 1,249,443.45
  5. Step 5: Solve for x
    x = 1,249,443.45/972.30
  6. Step 6: Final answer
    x = 1,285.04

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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.