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Finding the Fourth Proportional to 1,175.40, 1,762.80 and 559.38

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Solution

The fourth proportional to 1,175.40, 1,762.80 and 559.38 is: 838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.40 : 1,762.80 = 559.38 : x
  2. Step 2: Convert to fraction form
    1,175.40/1,762.80 = 559.38/x
  3. Step 3: Cross multiply
    1,175.40x = 1,762.80 × 559.38
  4. Step 4: Simplify right side
    1,175.40x = 986,075.06
  5. Step 5: Solve for x
    x = 986,075.06/1,175.40
  6. Step 6: Final answer
    x = 838.93

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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.