Home / 1,036.10-1,551.23-805.40

Finding the Fourth Proportional to 1,036.10, 1,551.23 and 805.40

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Solution

The fourth proportional to 1,036.10, 1,551.23 and 805.40 is: 1,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.10 : 1,551.23 = 805.40 : x
  2. Step 2: Convert to fraction form
    1,036.10/1,551.23 = 805.40/x
  3. Step 3: Cross multiply
    1,036.10x = 1,551.23 × 805.40
  4. Step 4: Simplify right side
    1,036.10x = 1,249,356.62
  5. Step 5: Solve for x
    x = 1,249,356.62/1,036.10
  6. Step 6: Final answer
    x = 1,205.83

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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.