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Finding the Fourth Proportional to 1,307.10, 1,961.99 and 690.69

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Solution

The fourth proportional to 1,307.10, 1,961.99 and 690.69 is: 1,036.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.10 : 1,961.99 = 690.69 : x
  2. Step 2: Convert to fraction form
    1,307.10/1,961.99 = 690.69/x
  3. Step 3: Cross multiply
    1,307.10x = 1,961.99 × 690.69
  4. Step 4: Simplify right side
    1,307.10x = 1,355,123.42
  5. Step 5: Solve for x
    x = 1,355,123.42/1,307.10
  6. Step 6: Final answer
    x = 1,036.74

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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.