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Finding the Fourth Proportional to 875.94, 1,208.84 and 503.03

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Solution

The fourth proportional to 875.94, 1,208.84 and 503.03 is: 694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.94 : 1,208.84 = 503.03 : x
  2. Step 2: Convert to fraction form
    875.94/1,208.84 = 503.03/x
  3. Step 3: Cross multiply
    875.94x = 1,208.84 × 503.03
  4. Step 4: Simplify right side
    875.94x = 608,074.23
  5. Step 5: Solve for x
    x = 608,074.23/875.94
  6. Step 6: Final answer
    x = 694.20

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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.