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Finding the Fourth Proportional to 1,300.34, 1,949.93 and 375.68

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Solution

The fourth proportional to 1,300.34, 1,949.93 and 375.68 is: 563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.34 : 1,949.93 = 375.68 : x
  2. Step 2: Convert to fraction form
    1,300.34/1,949.93 = 375.68/x
  3. Step 3: Cross multiply
    1,300.34x = 1,949.93 × 375.68
  4. Step 4: Simplify right side
    1,300.34x = 732,538.07
  5. Step 5: Solve for x
    x = 732,538.07/1,300.34
  6. Step 6: Final answer
    x = 563.35

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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.