Home / 1,075.10-1,611.30-587.78

Finding the Fourth Proportional to 1,075.10, 1,611.30 and 587.78

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Solution

The fourth proportional to 1,075.10, 1,611.30 and 587.78 is: 880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.10 : 1,611.30 = 587.78 : x
  2. Step 2: Convert to fraction form
    1,075.10/1,611.30 = 587.78/x
  3. Step 3: Cross multiply
    1,075.10x = 1,611.30 × 587.78
  4. Step 4: Simplify right side
    1,075.10x = 947,089.91
  5. Step 5: Solve for x
    x = 947,089.91/1,075.10
  6. Step 6: Final answer
    x = 880.93

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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.