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Finding the Fourth Proportional to 784.02, 1,176.44 and 345.58

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Solution

The fourth proportional to 784.02, 1,176.44 and 345.58 is: 518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.02 : 1,176.44 = 345.58 : x
  2. Step 2: Convert to fraction form
    784.02/1,176.44 = 345.58/x
  3. Step 3: Cross multiply
    784.02x = 1,176.44 × 345.58
  4. Step 4: Simplify right side
    784.02x = 406,549.47
  5. Step 5: Solve for x
    x = 406,549.47/784.02
  6. Step 6: Final answer
    x = 518.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.