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Finding the Fourth Proportional to 1,075.89, 1,605.51 and 959.40

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Solution

The fourth proportional to 1,075.89, 1,605.51 and 959.40 is: 1,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.89 : 1,605.51 = 959.40 : x
  2. Step 2: Convert to fraction form
    1,075.89/1,605.51 = 959.40/x
  3. Step 3: Cross multiply
    1,075.89x = 1,605.51 × 959.40
  4. Step 4: Simplify right side
    1,075.89x = 1,540,333.51
  5. Step 5: Solve for x
    x = 1,540,333.51/1,075.89
  6. Step 6: Final answer
    x = 1,431.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.