Home / 1,405.03-2,106.08-582.18

Finding the Fourth Proportional to 1,405.03, 2,106.08 and 582.18

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Solution

The fourth proportional to 1,405.03, 2,106.08 and 582.18 is: 872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.03 : 2,106.08 = 582.18 : x
  2. Step 2: Convert to fraction form
    1,405.03/2,106.08 = 582.18/x
  3. Step 3: Cross multiply
    1,405.03x = 2,106.08 × 582.18
  4. Step 4: Simplify right side
    1,405.03x = 1,226,117.65
  5. Step 5: Solve for x
    x = 1,226,117.65/1,405.03
  6. Step 6: Final answer
    x = 872.66

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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.