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Finding the Fourth Proportional to 1,225.79, 1,692.06 and 784.07

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Solution

The fourth proportional to 1,225.79, 1,692.06 and 784.07 is: 1,082.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.79 : 1,692.06 = 784.07 : x
  2. Step 2: Convert to fraction form
    1,225.79/1,692.06 = 784.07/x
  3. Step 3: Cross multiply
    1,225.79x = 1,692.06 × 784.07
  4. Step 4: Simplify right side
    1,225.79x = 1,326,693.48
  5. Step 5: Solve for x
    x = 1,326,693.48/1,225.79
  6. Step 6: Final answer
    x = 1,082.32

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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.