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Finding the Fourth Proportional to 1,307.01, 1,960.74 and 691.23

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Solution

The fourth proportional to 1,307.01, 1,960.74 and 691.23 is: 1,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.01 : 1,960.74 = 691.23 : x
  2. Step 2: Convert to fraction form
    1,307.01/1,960.74 = 691.23/x
  3. Step 3: Cross multiply
    1,307.01x = 1,960.74 × 691.23
  4. Step 4: Simplify right side
    1,307.01x = 1,355,322.31
  5. Step 5: Solve for x
    x = 1,355,322.31/1,307.01
  6. Step 6: Final answer
    x = 1,036.96

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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.