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Finding the Fourth Proportional to 1,332.14, 1,997.93 and 358.01

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Solution

The fourth proportional to 1,332.14, 1,997.93 and 358.01 is: 536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.14 : 1,997.93 = 358.01 : x
  2. Step 2: Convert to fraction form
    1,332.14/1,997.93 = 358.01/x
  3. Step 3: Cross multiply
    1,332.14x = 1,997.93 × 358.01
  4. Step 4: Simplify right side
    1,332.14x = 715,267.14
  5. Step 5: Solve for x
    x = 715,267.14/1,332.14
  6. Step 6: Final answer
    x = 536.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.