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Finding the Fourth Proportional to 858.74, 1,185.63 and 509.54

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Solution

The fourth proportional to 858.74, 1,185.63 and 509.54 is: 703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.74 : 1,185.63 = 509.54 : x
  2. Step 2: Convert to fraction form
    858.74/1,185.63 = 509.54/x
  3. Step 3: Cross multiply
    858.74x = 1,185.63 × 509.54
  4. Step 4: Simplify right side
    858.74x = 604,125.91
  5. Step 5: Solve for x
    x = 604,125.91/858.74
  6. Step 6: Final answer
    x = 703.50

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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.