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Finding the Fourth Proportional to 1,307.15, 1,960.73 and 442.07

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Solution

The fourth proportional to 1,307.15, 1,960.73 and 442.07 is: 663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.15 : 1,960.73 = 442.07 : x
  2. Step 2: Convert to fraction form
    1,307.15/1,960.73 = 442.07/x
  3. Step 3: Cross multiply
    1,307.15x = 1,960.73 × 442.07
  4. Step 4: Simplify right side
    1,307.15x = 866,767.90
  5. Step 5: Solve for x
    x = 866,767.90/1,307.15
  6. Step 6: Final answer
    x = 663.10

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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.