Home / 1,118.30-1,537.77-970.67

Finding the Fourth Proportional to 1,118.30, 1,537.77 and 970.67

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Solution

The fourth proportional to 1,118.30, 1,537.77 and 970.67 is: 1,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.30 : 1,537.77 = 970.67 : x
  2. Step 2: Convert to fraction form
    1,118.30/1,537.77 = 970.67/x
  3. Step 3: Cross multiply
    1,118.30x = 1,537.77 × 970.67
  4. Step 4: Simplify right side
    1,118.30x = 1,492,667.21
  5. Step 5: Solve for x
    x = 1,492,667.21/1,118.30
  6. Step 6: Final answer
    x = 1,334.77

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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.