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Finding the Fourth Proportional to 855.72, 1,176.98 and 705.29

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Solution

The fourth proportional to 855.72, 1,176.98 and 705.29 is: 970.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.72 : 1,176.98 = 705.29 : x
  2. Step 2: Convert to fraction form
    855.72/1,176.98 = 705.29/x
  3. Step 3: Cross multiply
    855.72x = 1,176.98 × 705.29
  4. Step 4: Simplify right side
    855.72x = 830,102.81
  5. Step 5: Solve for x
    x = 830,102.81/855.72
  6. Step 6: Final answer
    x = 970.06

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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.