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Finding the Fourth Proportional to 873.94, 1,205.91 and 500.93

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Solution

The fourth proportional to 873.94, 1,205.91 and 500.93 is: 691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.94 : 1,205.91 = 500.93 : x
  2. Step 2: Convert to fraction form
    873.94/1,205.91 = 500.93/x
  3. Step 3: Cross multiply
    873.94x = 1,205.91 × 500.93
  4. Step 4: Simplify right side
    873.94x = 604,083.18
  5. Step 5: Solve for x
    x = 604,083.18/873.94
  6. Step 6: Final answer
    x = 691.22

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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.