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Finding the Fourth Proportional to 977.93, 1,466.88 and 705.75

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Solution

The fourth proportional to 977.93, 1,466.88 and 705.75 is: 1,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.93 : 1,466.88 = 705.75 : x
  2. Step 2: Convert to fraction form
    977.93/1,466.88 = 705.75/x
  3. Step 3: Cross multiply
    977.93x = 1,466.88 × 705.75
  4. Step 4: Simplify right side
    977.93x = 1,035,250.56
  5. Step 5: Solve for x
    x = 1,035,250.56/977.93
  6. Step 6: Final answer
    x = 1,058.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.