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Finding the Fourth Proportional to 897.06, 1,237.92 and 498.75

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Solution

The fourth proportional to 897.06, 1,237.92 and 498.75 is: 688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.06 : 1,237.92 = 498.75 : x
  2. Step 2: Convert to fraction form
    897.06/1,237.92 = 498.75/x
  3. Step 3: Cross multiply
    897.06x = 1,237.92 × 498.75
  4. Step 4: Simplify right side
    897.06x = 617,406.09
  5. Step 5: Solve for x
    x = 617,406.09/897.06
  6. Step 6: Final answer
    x = 688.25

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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.