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Finding the Fourth Proportional to 1,332.37, 1,998.51 and 358.45

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Solution

The fourth proportional to 1,332.37, 1,998.51 and 358.45 is: 537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.37 : 1,998.51 = 358.45 : x
  2. Step 2: Convert to fraction form
    1,332.37/1,998.51 = 358.45/x
  3. Step 3: Cross multiply
    1,332.37x = 1,998.51 × 358.45
  4. Step 4: Simplify right side
    1,332.37x = 716,365.91
  5. Step 5: Solve for x
    x = 716,365.91/1,332.37
  6. Step 6: Final answer
    x = 537.66

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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.