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Finding the Fourth Proportional to 1,332.91, 1,999.56 and 467.02

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Solution

The fourth proportional to 1,332.91, 1,999.56 and 467.02 is: 700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.91 : 1,999.56 = 467.02 : x
  2. Step 2: Convert to fraction form
    1,332.91/1,999.56 = 467.02/x
  3. Step 3: Cross multiply
    1,332.91x = 1,999.56 × 467.02
  4. Step 4: Simplify right side
    1,332.91x = 933,834.51
  5. Step 5: Solve for x
    x = 933,834.51/1,332.91
  6. Step 6: Final answer
    x = 700.60

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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.