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Finding the Fourth Proportional to 873.06, 1,205.01 and 500.10

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Solution

The fourth proportional to 873.06, 1,205.01 and 500.10 is: 690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.06 : 1,205.01 = 500.10 : x
  2. Step 2: Convert to fraction form
    873.06/1,205.01 = 500.10/x
  3. Step 3: Cross multiply
    873.06x = 1,205.01 × 500.10
  4. Step 4: Simplify right side
    873.06x = 602,625.50
  5. Step 5: Solve for x
    x = 602,625.50/873.06
  6. Step 6: Final answer
    x = 690.25

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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.