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Finding the Fourth Proportional to 1,345.01, 1,855.91 and 784.89

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Solution

The fourth proportional to 1,345.01, 1,855.91 and 784.89 is: 1,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.01 : 1,855.91 = 784.89 : x
  2. Step 2: Convert to fraction form
    1,345.01/1,855.91 = 784.89/x
  3. Step 3: Cross multiply
    1,345.01x = 1,855.91 × 784.89
  4. Step 4: Simplify right side
    1,345.01x = 1,456,687.16
  5. Step 5: Solve for x
    x = 1,456,687.16/1,345.01
  6. Step 6: Final answer
    x = 1,083.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.