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Finding the Fourth Proportional to 1,302.55, 1,953.82 and 436.86

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Solution

The fourth proportional to 1,302.55, 1,953.82 and 436.86 is: 655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.55 : 1,953.82 = 436.86 : x
  2. Step 2: Convert to fraction form
    1,302.55/1,953.82 = 436.86/x
  3. Step 3: Cross multiply
    1,302.55x = 1,953.82 × 436.86
  4. Step 4: Simplify right side
    1,302.55x = 853,546.35
  5. Step 5: Solve for x
    x = 853,546.35/1,302.55
  6. Step 6: Final answer
    x = 655.29

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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.