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Finding the Fourth Proportional to 1,406.34, 2,109.93 and 584.67

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Solution

The fourth proportional to 1,406.34, 2,109.93 and 584.67 is: 877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.34 : 2,109.93 = 584.67 : x
  2. Step 2: Convert to fraction form
    1,406.34/2,109.93 = 584.67/x
  3. Step 3: Cross multiply
    1,406.34x = 2,109.93 × 584.67
  4. Step 4: Simplify right side
    1,406.34x = 1,233,612.77
  5. Step 5: Solve for x
    x = 1,233,612.77/1,406.34
  6. Step 6: Final answer
    x = 877.18

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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.