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Finding the Fourth Proportional to 865.03, 1,193.93 and 510.82

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Solution

The fourth proportional to 865.03, 1,193.93 and 510.82 is: 705.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.03 : 1,193.93 = 510.82 : x
  2. Step 2: Convert to fraction form
    865.03/1,193.93 = 510.82/x
  3. Step 3: Cross multiply
    865.03x = 1,193.93 × 510.82
  4. Step 4: Simplify right side
    865.03x = 609,877.78
  5. Step 5: Solve for x
    x = 609,877.78/865.03
  6. Step 6: Final answer
    x = 705.04

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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.