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Finding the Fourth Proportional to 1,000.79, 1,378.52 and 705.54

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Solution

The fourth proportional to 1,000.79, 1,378.52 and 705.54 is: 971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.79 : 1,378.52 = 705.54 : x
  2. Step 2: Convert to fraction form
    1,000.79/1,378.52 = 705.54/x
  3. Step 3: Cross multiply
    1,000.79x = 1,378.52 × 705.54
  4. Step 4: Simplify right side
    1,000.79x = 972,605.29
  5. Step 5: Solve for x
    x = 972,605.29/1,000.79
  6. Step 6: Final answer
    x = 971.84

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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.