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Finding the Fourth Proportional to 705.61, 1,058.57 and 499.67

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Solution

The fourth proportional to 705.61, 1,058.57 and 499.67 is: 749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.61 : 1,058.57 = 499.67 : x
  2. Step 2: Convert to fraction form
    705.61/1,058.57 = 499.67/x
  3. Step 3: Cross multiply
    705.61x = 1,058.57 × 499.67
  4. Step 4: Simplify right side
    705.61x = 528,933.72
  5. Step 5: Solve for x
    x = 528,933.72/705.61
  6. Step 6: Final answer
    x = 749.61

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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.