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Finding the Fourth Proportional to 971.89, 1,341.20 and 578.93

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Solution

The fourth proportional to 971.89, 1,341.20 and 578.93 is: 798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.89 : 1,341.20 = 578.93 : x
  2. Step 2: Convert to fraction form
    971.89/1,341.20 = 578.93/x
  3. Step 3: Cross multiply
    971.89x = 1,341.20 × 578.93
  4. Step 4: Simplify right side
    971.89x = 776,455.66
  5. Step 5: Solve for x
    x = 776,455.66/971.89
  6. Step 6: Final answer
    x = 798.92

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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.