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Finding the Fourth Proportional to 1,309.33, 1,964.63 and 616.06

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Solution

The fourth proportional to 1,309.33, 1,964.63 and 616.06 is: 924.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.33 : 1,964.63 = 616.06 : x
  2. Step 2: Convert to fraction form
    1,309.33/1,964.63 = 616.06/x
  3. Step 3: Cross multiply
    1,309.33x = 1,964.63 × 616.06
  4. Step 4: Simplify right side
    1,309.33x = 1,210,337.75
  5. Step 5: Solve for x
    x = 1,210,337.75/1,309.33
  6. Step 6: Final answer
    x = 924.40

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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.