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Finding the Fourth Proportional to 1,345.50, 1,855.98 and 903.24

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Solution

The fourth proportional to 1,345.50, 1,855.98 and 903.24 is: 1,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.50 : 1,855.98 = 903.24 : x
  2. Step 2: Convert to fraction form
    1,345.50/1,855.98 = 903.24/x
  3. Step 3: Cross multiply
    1,345.50x = 1,855.98 × 903.24
  4. Step 4: Simplify right side
    1,345.50x = 1,676,395.38
  5. Step 5: Solve for x
    x = 1,676,395.38/1,345.50
  6. Step 6: Final answer
    x = 1,245.93

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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.