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Finding the Fourth Proportional to 978.58, 1,467.96 and 692.38

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Solution

The fourth proportional to 978.58, 1,467.96 and 692.38 is: 1,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.58 : 1,467.96 = 692.38 : x
  2. Step 2: Convert to fraction form
    978.58/1,467.96 = 692.38/x
  3. Step 3: Cross multiply
    978.58x = 1,467.96 × 692.38
  4. Step 4: Simplify right side
    978.58x = 1,016,386.14
  5. Step 5: Solve for x
    x = 1,016,386.14/978.58
  6. Step 6: Final answer
    x = 1,038.63

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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.