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Finding the Fourth Proportional to 1,307.04, 1,959.21 and 981.42

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Solution

The fourth proportional to 1,307.04, 1,959.21 and 981.42 is: 1,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.04 : 1,959.21 = 981.42 : x
  2. Step 2: Convert to fraction form
    1,307.04/1,959.21 = 981.42/x
  3. Step 3: Cross multiply
    1,307.04x = 1,959.21 × 981.42
  4. Step 4: Simplify right side
    1,307.04x = 1,922,807.88
  5. Step 5: Solve for x
    x = 1,922,807.88/1,307.04
  6. Step 6: Final answer
    x = 1,471.12

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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.