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Finding the Fourth Proportional to 1,370.86, 2,056.59 and 397.05

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Solution

The fourth proportional to 1,370.86, 2,056.59 and 397.05 is: 595.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.86 : 2,056.59 = 397.05 : x
  2. Step 2: Convert to fraction form
    1,370.86/2,056.59 = 397.05/x
  3. Step 3: Cross multiply
    1,370.86x = 2,056.59 × 397.05
  4. Step 4: Simplify right side
    1,370.86x = 816,569.06
  5. Step 5: Solve for x
    x = 816,569.06/1,370.86
  6. Step 6: Final answer
    x = 595.66

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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.