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Finding the Fourth Proportional to 1,332.51, 1,997.74 and 715.69

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Solution

The fourth proportional to 1,332.51, 1,997.74 and 715.69 is: 1,072.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.51 : 1,997.74 = 715.69 : x
  2. Step 2: Convert to fraction form
    1,332.51/1,997.74 = 715.69/x
  3. Step 3: Cross multiply
    1,332.51x = 1,997.74 × 715.69
  4. Step 4: Simplify right side
    1,332.51x = 1,429,762.54
  5. Step 5: Solve for x
    x = 1,429,762.54/1,332.51
  6. Step 6: Final answer
    x = 1,072.98

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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.