Home / 1,065.18-1,598.85-824.34

Finding the Fourth Proportional to 1,065.18, 1,598.85 and 824.34

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Solution

The fourth proportional to 1,065.18, 1,598.85 and 824.34 is: 1,237.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.18 : 1,598.85 = 824.34 : x
  2. Step 2: Convert to fraction form
    1,065.18/1,598.85 = 824.34/x
  3. Step 3: Cross multiply
    1,065.18x = 1,598.85 × 824.34
  4. Step 4: Simplify right side
    1,065.18x = 1,317,996.01
  5. Step 5: Solve for x
    x = 1,317,996.01/1,065.18
  6. Step 6: Final answer
    x = 1,237.35

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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.