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Finding the Fourth Proportional to 1,300.29, 1,950.14 and 375.64

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Solution

The fourth proportional to 1,300.29, 1,950.14 and 375.64 is: 563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.29 : 1,950.14 = 375.64 : x
  2. Step 2: Convert to fraction form
    1,300.29/1,950.14 = 375.64/x
  3. Step 3: Cross multiply
    1,300.29x = 1,950.14 × 375.64
  4. Step 4: Simplify right side
    1,300.29x = 732,545.07
  5. Step 5: Solve for x
    x = 732,545.07/1,300.29
  6. Step 6: Final answer
    x = 563.37

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Why These Related Problems?

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