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Finding the Fourth Proportional to 845.03, 1,164.02 and 705.10

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Solution

The fourth proportional to 845.03, 1,164.02 and 705.10 is: 971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.03 : 1,164.02 = 705.10 : x
  2. Step 2: Convert to fraction form
    845.03/1,164.02 = 705.10/x
  3. Step 3: Cross multiply
    845.03x = 1,164.02 × 705.10
  4. Step 4: Simplify right side
    845.03x = 820,746.98
  5. Step 5: Solve for x
    x = 820,746.98/845.03
  6. Step 6: Final answer
    x = 971.27

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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.