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Finding the Fourth Proportional to 1,657, 2,483.82 and 683.64

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Solution

The fourth proportional to 1,657, 2,483.82 and 683.64 is: 1,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657 : 2,483.82 = 683.64 : x
  2. Step 2: Convert to fraction form
    1,657/2,483.82 = 683.64/x
  3. Step 3: Cross multiply
    1,657x = 2,483.82 × 683.64
  4. Step 4: Simplify right side
    1,657x = 1,698,038.70
  5. Step 5: Solve for x
    x = 1,698,038.70/1,657
  6. Step 6: Final answer
    x = 1,024.77

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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.