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Finding the Fourth Proportional to 1,065.90, 1,603.98 and 965.16

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Solution

The fourth proportional to 1,065.90, 1,603.98 and 965.16 is: 1,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.90 : 1,603.98 = 965.16 : x
  2. Step 2: Convert to fraction form
    1,065.90/1,603.98 = 965.16/x
  3. Step 3: Cross multiply
    1,065.90x = 1,603.98 × 965.16
  4. Step 4: Simplify right side
    1,065.90x = 1,548,097.34
  5. Step 5: Solve for x
    x = 1,548,097.34/1,065.90
  6. Step 6: Final answer
    x = 1,452.39

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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.