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Finding the Fourth Proportional to 1,298.30, 1,946.32 and 567.32

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Solution

The fourth proportional to 1,298.30, 1,946.32 and 567.32 is: 850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.30 : 1,946.32 = 567.32 : x
  2. Step 2: Convert to fraction form
    1,298.30/1,946.32 = 567.32/x
  3. Step 3: Cross multiply
    1,298.30x = 1,946.32 × 567.32
  4. Step 4: Simplify right side
    1,298.30x = 1,104,175.11
  5. Step 5: Solve for x
    x = 1,104,175.11/1,298.30
  6. Step 6: Final answer
    x = 850.48

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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.