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Finding the Fourth Proportional to 784.29, 1,081.57 and 469.50

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Solution

The fourth proportional to 784.29, 1,081.57 and 469.50 is: 647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.29 : 1,081.57 = 469.50 : x
  2. Step 2: Convert to fraction form
    784.29/1,081.57 = 469.50/x
  3. Step 3: Cross multiply
    784.29x = 1,081.57 × 469.50
  4. Step 4: Simplify right side
    784.29x = 507,797.12
  5. Step 5: Solve for x
    x = 507,797.12/784.29
  6. Step 6: Final answer
    x = 647.46

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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.