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Finding the Fourth Proportional to 873.50, 1,205.16 and 578.93

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Solution

The fourth proportional to 873.50, 1,205.16 and 578.93 is: 798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.50 : 1,205.16 = 578.93 : x
  2. Step 2: Convert to fraction form
    873.50/1,205.16 = 578.93/x
  3. Step 3: Cross multiply
    873.50x = 1,205.16 × 578.93
  4. Step 4: Simplify right side
    873.50x = 697,703.28
  5. Step 5: Solve for x
    x = 697,703.28/873.50
  6. Step 6: Final answer
    x = 798.74

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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.