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Finding the Fourth Proportional to 971.48, 1,341.59 and 618.06

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Solution

The fourth proportional to 971.48, 1,341.59 and 618.06 is: 853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.48 : 1,341.59 = 618.06 : x
  2. Step 2: Convert to fraction form
    971.48/1,341.59 = 618.06/x
  3. Step 3: Cross multiply
    971.48x = 1,341.59 × 618.06
  4. Step 4: Simplify right side
    971.48x = 829,189.69
  5. Step 5: Solve for x
    x = 829,189.69/971.48
  6. Step 6: Final answer
    x = 853.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.