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Finding the Fourth Proportional to 1,302.54, 1,953.80 and 328.64

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Solution

The fourth proportional to 1,302.54, 1,953.80 and 328.64 is: 492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.54 : 1,953.80 = 328.64 : x
  2. Step 2: Convert to fraction form
    1,302.54/1,953.80 = 328.64/x
  3. Step 3: Cross multiply
    1,302.54x = 1,953.80 × 328.64
  4. Step 4: Simplify right side
    1,302.54x = 642,096.83
  5. Step 5: Solve for x
    x = 642,096.83/1,302.54
  6. Step 6: Final answer
    x = 492.96

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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.