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Finding the Fourth Proportional to 1,302.40, 1,953.56 and 436.64

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Solution

The fourth proportional to 1,302.40, 1,953.56 and 436.64 is: 654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.40 : 1,953.56 = 436.64 : x
  2. Step 2: Convert to fraction form
    1,302.40/1,953.56 = 436.64/x
  3. Step 3: Cross multiply
    1,302.40x = 1,953.56 × 436.64
  4. Step 4: Simplify right side
    1,302.40x = 853,002.44
  5. Step 5: Solve for x
    x = 853,002.44/1,302.40
  6. Step 6: Final answer
    x = 654.95

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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.