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Finding the Fourth Proportional to 1,345.14, 1,855.55 and 903.33

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Solution

The fourth proportional to 1,345.14, 1,855.55 and 903.33 is: 1,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.14 : 1,855.55 = 903.33 : x
  2. Step 2: Convert to fraction form
    1,345.14/1,855.55 = 903.33/x
  3. Step 3: Cross multiply
    1,345.14x = 1,855.55 × 903.33
  4. Step 4: Simplify right side
    1,345.14x = 1,676,173.98
  5. Step 5: Solve for x
    x = 1,676,173.98/1,345.14
  6. Step 6: Final answer
    x = 1,246.10

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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.