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Finding the Fourth Proportional to 1,302.96, 1,953.72 and 437.04

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Solution

The fourth proportional to 1,302.96, 1,953.72 and 437.04 is: 655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.96 : 1,953.72 = 437.04 : x
  2. Step 2: Convert to fraction form
    1,302.96/1,953.72 = 437.04/x
  3. Step 3: Cross multiply
    1,302.96x = 1,953.72 × 437.04
  4. Step 4: Simplify right side
    1,302.96x = 853,853.79
  5. Step 5: Solve for x
    x = 853,853.79/1,302.96
  6. Step 6: Final answer
    x = 655.32

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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.