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Finding the Fourth Proportional to 1,302.38, 1,953.84 and 436.70

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Solution

The fourth proportional to 1,302.38, 1,953.84 and 436.70 is: 655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.38 : 1,953.84 = 436.70 : x
  2. Step 2: Convert to fraction form
    1,302.38/1,953.84 = 436.70/x
  3. Step 3: Cross multiply
    1,302.38x = 1,953.84 × 436.70
  4. Step 4: Simplify right side
    1,302.38x = 853,241.93
  5. Step 5: Solve for x
    x = 853,241.93/1,302.38
  6. Step 6: Final answer
    x = 655.14

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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.