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Finding the Fourth Proportional to 1,370.86, 2,053.35 and 589.84

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Solution

The fourth proportional to 1,370.86, 2,053.35 and 589.84 is: 883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.86 : 2,053.35 = 589.84 : x
  2. Step 2: Convert to fraction form
    1,370.86/2,053.35 = 589.84/x
  3. Step 3: Cross multiply
    1,370.86x = 2,053.35 × 589.84
  4. Step 4: Simplify right side
    1,370.86x = 1,211,142.83
  5. Step 5: Solve for x
    x = 1,211,142.83/1,370.86
  6. Step 6: Final answer
    x = 883.49

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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.