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Finding the Fourth Proportional to 972.65, 1,457.09 and 486.11

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Solution

The fourth proportional to 972.65, 1,457.09 and 486.11 is: 728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.65 : 1,457.09 = 486.11 : x
  2. Step 2: Convert to fraction form
    972.65/1,457.09 = 486.11/x
  3. Step 3: Cross multiply
    972.65x = 1,457.09 × 486.11
  4. Step 4: Simplify right side
    972.65x = 708,303.59
  5. Step 5: Solve for x
    x = 708,303.59/972.65
  6. Step 6: Final answer
    x = 728.22

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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.