Home / 1,029.11-1,417.70-965.93

Finding the Fourth Proportional to 1,029.11, 1,417.70 and 965.93

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Solution

The fourth proportional to 1,029.11, 1,417.70 and 965.93 is: 1,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.11 : 1,417.70 = 965.93 : x
  2. Step 2: Convert to fraction form
    1,029.11/1,417.70 = 965.93/x
  3. Step 3: Cross multiply
    1,029.11x = 1,417.70 × 965.93
  4. Step 4: Simplify right side
    1,029.11x = 1,369,394.29
  5. Step 5: Solve for x
    x = 1,369,394.29/1,029.11
  6. Step 6: Final answer
    x = 1,330.67

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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.