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Finding the Fourth Proportional to 1,184.61, 1,780.13 and 637.19

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Solution

The fourth proportional to 1,184.61, 1,780.13 and 637.19 is: 957.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.61 : 1,780.13 = 637.19 : x
  2. Step 2: Convert to fraction form
    1,184.61/1,780.13 = 637.19/x
  3. Step 3: Cross multiply
    1,184.61x = 1,780.13 × 637.19
  4. Step 4: Simplify right side
    1,184.61x = 1,134,281.03
  5. Step 5: Solve for x
    x = 1,134,281.03/1,184.61
  6. Step 6: Final answer
    x = 957.51

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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.