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Finding the Fourth Proportional to 1,856.52, 2,784.69 and 469.77

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Solution

The fourth proportional to 1,856.52, 2,784.69 and 469.77 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.52 : 2,784.69 = 469.77 : x
  2. Step 2: Convert to fraction form
    1,856.52/2,784.69 = 469.77/x
  3. Step 3: Cross multiply
    1,856.52x = 2,784.69 × 469.77
  4. Step 4: Simplify right side
    1,856.52x = 1,308,169.61
  5. Step 5: Solve for x
    x = 1,308,169.61/1,856.52
  6. Step 6: Final answer
    x = 704.64

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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.