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Finding the Fourth Proportional to 1,347, 2,019.57 and 956.99

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Solution

The fourth proportional to 1,347, 2,019.57 and 956.99 is: 1,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347 : 2,019.57 = 956.99 : x
  2. Step 2: Convert to fraction form
    1,347/2,019.57 = 956.99/x
  3. Step 3: Cross multiply
    1,347x = 2,019.57 × 956.99
  4. Step 4: Simplify right side
    1,347x = 1,932,698.20
  5. Step 5: Solve for x
    x = 1,932,698.20/1,347
  6. Step 6: Final answer
    x = 1,434.82

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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.