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Finding the Fourth Proportional to 1,307.88, 1,958.18 and 896.40

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Solution

The fourth proportional to 1,307.88, 1,958.18 and 896.40 is: 1,342.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.88 : 1,958.18 = 896.40 : x
  2. Step 2: Convert to fraction form
    1,307.88/1,958.18 = 896.40/x
  3. Step 3: Cross multiply
    1,307.88x = 1,958.18 × 896.40
  4. Step 4: Simplify right side
    1,307.88x = 1,755,308.07
  5. Step 5: Solve for x
    x = 1,755,308.07/1,307.88
  6. Step 6: Final answer
    x = 1,342.10

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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.