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Finding the Fourth Proportional to 1,302.10, 1,953.02 and 365.05

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Solution

The fourth proportional to 1,302.10, 1,953.02 and 365.05 is: 547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.10 : 1,953.02 = 365.05 : x
  2. Step 2: Convert to fraction form
    1,302.10/1,953.02 = 365.05/x
  3. Step 3: Cross multiply
    1,302.10x = 1,953.02 × 365.05
  4. Step 4: Simplify right side
    1,302.10x = 712,943.24
  5. Step 5: Solve for x
    x = 712,943.24/1,302.10
  6. Step 6: Final answer
    x = 547.53

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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.