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Finding the Fourth Proportional to 971.56, 1,457.58 and 864.16

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Solution

The fourth proportional to 971.56, 1,457.58 and 864.16 is: 1,296.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.56 : 1,457.58 = 864.16 : x
  2. Step 2: Convert to fraction form
    971.56/1,457.58 = 864.16/x
  3. Step 3: Cross multiply
    971.56x = 1,457.58 × 864.16
  4. Step 4: Simplify right side
    971.56x = 1,259,582.33
  5. Step 5: Solve for x
    x = 1,259,582.33/971.56
  6. Step 6: Final answer
    x = 1,296.45

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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.