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Finding the Fourth Proportional to 840.99, 1,161.13 and 526.72

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Solution

The fourth proportional to 840.99, 1,161.13 and 526.72 is: 727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.99 : 1,161.13 = 526.72 : x
  2. Step 2: Convert to fraction form
    840.99/1,161.13 = 526.72/x
  3. Step 3: Cross multiply
    840.99x = 1,161.13 × 526.72
  4. Step 4: Simplify right side
    840.99x = 611,590.39
  5. Step 5: Solve for x
    x = 611,590.39/840.99
  6. Step 6: Final answer
    x = 727.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.