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Finding the Fourth Proportional to 848.03, 1,169.75 and 705.87

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Solution

The fourth proportional to 848.03, 1,169.75 and 705.87 is: 973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.03 : 1,169.75 = 705.87 : x
  2. Step 2: Convert to fraction form
    848.03/1,169.75 = 705.87/x
  3. Step 3: Cross multiply
    848.03x = 1,169.75 × 705.87
  4. Step 4: Simplify right side
    848.03x = 825,687.90
  5. Step 5: Solve for x
    x = 825,687.90/848.03
  6. Step 6: Final answer
    x = 973.66

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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.