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Finding the Fourth Proportional to 1,312.54, 1,968.81 and 338.65

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Solution

The fourth proportional to 1,312.54, 1,968.81 and 338.65 is: 507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.54 : 1,968.81 = 338.65 : x
  2. Step 2: Convert to fraction form
    1,312.54/1,968.81 = 338.65/x
  3. Step 3: Cross multiply
    1,312.54x = 1,968.81 × 338.65
  4. Step 4: Simplify right side
    1,312.54x = 666,737.51
  5. Step 5: Solve for x
    x = 666,737.51/1,312.54
  6. Step 6: Final answer
    x = 507.98

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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.