Home / 1,199.10-1,653.40-977.36

Finding the Fourth Proportional to 1,199.10, 1,653.40 and 977.36

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Solution

The fourth proportional to 1,199.10, 1,653.40 and 977.36 is: 1,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.10 : 1,653.40 = 977.36 : x
  2. Step 2: Convert to fraction form
    1,199.10/1,653.40 = 977.36/x
  3. Step 3: Cross multiply
    1,199.10x = 1,653.40 × 977.36
  4. Step 4: Simplify right side
    1,199.10x = 1,615,962.14
  5. Step 5: Solve for x
    x = 1,615,962.14/1,199.10
  6. Step 6: Final answer
    x = 1,347.65

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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.