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Finding the Fourth Proportional to 971.54, 1,457.55 and 800.18

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Solution

The fourth proportional to 971.54, 1,457.55 and 800.18 is: 1,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.54 : 1,457.55 = 800.18 : x
  2. Step 2: Convert to fraction form
    971.54/1,457.55 = 800.18/x
  3. Step 3: Cross multiply
    971.54x = 1,457.55 × 800.18
  4. Step 4: Simplify right side
    971.54x = 1,166,302.36
  5. Step 5: Solve for x
    x = 1,166,302.36/971.54
  6. Step 6: Final answer
    x = 1,200.47

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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.