Home / 1,031.63-1,415.76-1,024.34

Finding the Fourth Proportional to 1,031.63, 1,415.76 and 1,024.34

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Solution

The fourth proportional to 1,031.63, 1,415.76 and 1,024.34 is: 1,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.63 : 1,415.76 = 1,024.34 : x
  2. Step 2: Convert to fraction form
    1,031.63/1,415.76 = 1,024.34/x
  3. Step 3: Cross multiply
    1,031.63x = 1,415.76 × 1,024.34
  4. Step 4: Simplify right side
    1,031.63x = 1,450,214.48
  5. Step 5: Solve for x
    x = 1,450,214.48/1,031.63
  6. Step 6: Final answer
    x = 1,405.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.