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Finding the Fourth Proportional to 1,109.19, 1,530.53 and 637.00

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Solution

The fourth proportional to 1,109.19, 1,530.53 and 637.00 is: 878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.19 : 1,530.53 = 637.00 : x
  2. Step 2: Convert to fraction form
    1,109.19/1,530.53 = 637.00/x
  3. Step 3: Cross multiply
    1,109.19x = 1,530.53 × 637.00
  4. Step 4: Simplify right side
    1,109.19x = 974,942.99
  5. Step 5: Solve for x
    x = 974,942.99/1,109.19
  6. Step 6: Final answer
    x = 878.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.