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Finding the Fourth Proportional to 1,065.86, 1,598.90 and 372.25

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Solution

The fourth proportional to 1,065.86, 1,598.90 and 372.25 is: 558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.86 : 1,598.90 = 372.25 : x
  2. Step 2: Convert to fraction form
    1,065.86/1,598.90 = 372.25/x
  3. Step 3: Cross multiply
    1,065.86x = 1,598.90 × 372.25
  4. Step 4: Simplify right side
    1,065.86x = 595,184.67
  5. Step 5: Solve for x
    x = 595,184.67/1,065.86
  6. Step 6: Final answer
    x = 558.41

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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.