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Finding the Fourth Proportional to 1,307.35, 1,958.46 and 983.08

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Solution

The fourth proportional to 1,307.35, 1,958.46 and 983.08 is: 1,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.35 : 1,958.46 = 983.08 : x
  2. Step 2: Convert to fraction form
    1,307.35/1,958.46 = 983.08/x
  3. Step 3: Cross multiply
    1,307.35x = 1,958.46 × 983.08
  4. Step 4: Simplify right side
    1,307.35x = 1,925,322.86
  5. Step 5: Solve for x
    x = 1,925,322.86/1,307.35
  6. Step 6: Final answer
    x = 1,472.69

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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.