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Finding the Fourth Proportional to 897.02, 1,237.86 and 498.68

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Solution

The fourth proportional to 897.02, 1,237.86 and 498.68 is: 688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.02 : 1,237.86 = 498.68 : x
  2. Step 2: Convert to fraction form
    897.02/1,237.86 = 498.68/x
  3. Step 3: Cross multiply
    897.02x = 1,237.86 × 498.68
  4. Step 4: Simplify right side
    897.02x = 617,296.02
  5. Step 5: Solve for x
    x = 617,296.02/897.02
  6. Step 6: Final answer
    x = 688.16

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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.