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Finding the Fourth Proportional to 858.92, 1,185.48 and 509.72

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Solution

The fourth proportional to 858.92, 1,185.48 and 509.72 is: 703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.92 : 1,185.48 = 509.72 : x
  2. Step 2: Convert to fraction form
    858.92/1,185.48 = 509.72/x
  3. Step 3: Cross multiply
    858.92x = 1,185.48 × 509.72
  4. Step 4: Simplify right side
    858.92x = 604,262.87
  5. Step 5: Solve for x
    x = 604,262.87/858.92
  6. Step 6: Final answer
    x = 703.51

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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.