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Finding the Fourth Proportional to 1,302.19, 1,952.57 and 424.42

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Solution

The fourth proportional to 1,302.19, 1,952.57 and 424.42 is: 636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.19 : 1,952.57 = 424.42 : x
  2. Step 2: Convert to fraction form
    1,302.19/1,952.57 = 424.42/x
  3. Step 3: Cross multiply
    1,302.19x = 1,952.57 × 424.42
  4. Step 4: Simplify right side
    1,302.19x = 828,705.94
  5. Step 5: Solve for x
    x = 828,705.94/1,302.19
  6. Step 6: Final answer
    x = 636.40

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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.