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Finding the Fourth Proportional to 873.79, 1,205.79 and 524.67

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Solution

The fourth proportional to 873.79, 1,205.79 and 524.67 is: 724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.79 : 1,205.79 = 524.67 : x
  2. Step 2: Convert to fraction form
    873.79/1,205.79 = 524.67/x
  3. Step 3: Cross multiply
    873.79x = 1,205.79 × 524.67
  4. Step 4: Simplify right side
    873.79x = 632,641.84
  5. Step 5: Solve for x
    x = 632,641.84/873.79
  6. Step 6: Final answer
    x = 724.02

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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.