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Finding the Fourth Proportional to 1,058.38, 1,460.76 and 709.67

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Solution

The fourth proportional to 1,058.38, 1,460.76 and 709.67 is: 979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.38 : 1,460.76 = 709.67 : x
  2. Step 2: Convert to fraction form
    1,058.38/1,460.76 = 709.67/x
  3. Step 3: Cross multiply
    1,058.38x = 1,460.76 × 709.67
  4. Step 4: Simplify right side
    1,058.38x = 1,036,657.55
  5. Step 5: Solve for x
    x = 1,036,657.55/1,058.38
  6. Step 6: Final answer
    x = 979.48

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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.