Home / 1,106.14-1,526.44-608.78

Finding the Fourth Proportional to 1,106.14, 1,526.44 and 608.78

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Solution

The fourth proportional to 1,106.14, 1,526.44 and 608.78 is: 840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.14 : 1,526.44 = 608.78 : x
  2. Step 2: Convert to fraction form
    1,106.14/1,526.44 = 608.78/x
  3. Step 3: Cross multiply
    1,106.14x = 1,526.44 × 608.78
  4. Step 4: Simplify right side
    1,106.14x = 929,266.14
  5. Step 5: Solve for x
    x = 929,266.14/1,106.14
  6. Step 6: Final answer
    x = 840.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.