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Finding the Fourth Proportional to 1,309.75, 1,964.14 and 432.02

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Solution

The fourth proportional to 1,309.75, 1,964.14 and 432.02 is: 647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.75 : 1,964.14 = 432.02 : x
  2. Step 2: Convert to fraction form
    1,309.75/1,964.14 = 432.02/x
  3. Step 3: Cross multiply
    1,309.75x = 1,964.14 × 432.02
  4. Step 4: Simplify right side
    1,309.75x = 848,547.76
  5. Step 5: Solve for x
    x = 848,547.76/1,309.75
  6. Step 6: Final answer
    x = 647.87

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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.