Home / 1,409.12-2,113.32-434.96

Finding the Fourth Proportional to 1,409.12, 2,113.32 and 434.96

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Solution

The fourth proportional to 1,409.12, 2,113.32 and 434.96 is: 652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.12 : 2,113.32 = 434.96 : x
  2. Step 2: Convert to fraction form
    1,409.12/2,113.32 = 434.96/x
  3. Step 3: Cross multiply
    1,409.12x = 2,113.32 × 434.96
  4. Step 4: Simplify right side
    1,409.12x = 919,209.67
  5. Step 5: Solve for x
    x = 919,209.67/1,409.12
  6. Step 6: Final answer
    x = 652.33

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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.