Home / 1,126.32-1,686.60-692.16

Finding the Fourth Proportional to 1,126.32, 1,686.60 and 692.16

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Solution

The fourth proportional to 1,126.32, 1,686.60 and 692.16 is: 1,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.32 : 1,686.60 = 692.16 : x
  2. Step 2: Convert to fraction form
    1,126.32/1,686.60 = 692.16/x
  3. Step 3: Cross multiply
    1,126.32x = 1,686.60 × 692.16
  4. Step 4: Simplify right side
    1,126.32x = 1,167,397.06
  5. Step 5: Solve for x
    x = 1,167,397.06/1,126.32
  6. Step 6: Final answer
    x = 1,036.47

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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.