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Finding the Fourth Proportional to 858.83, 1,288.53 and 469.04

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Solution

The fourth proportional to 858.83, 1,288.53 and 469.04 is: 703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.83 : 1,288.53 = 469.04 : x
  2. Step 2: Convert to fraction form
    858.83/1,288.53 = 469.04/x
  3. Step 3: Cross multiply
    858.83x = 1,288.53 × 469.04
  4. Step 4: Simplify right side
    858.83x = 604,365.67
  5. Step 5: Solve for x
    x = 604,365.67/858.83
  6. Step 6: Final answer
    x = 703.71

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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.