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Finding the Fourth Proportional to 897.04, 1,237.86 and 498.72

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Solution

The fourth proportional to 897.04, 1,237.86 and 498.72 is: 688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.04 : 1,237.86 = 498.72 : x
  2. Step 2: Convert to fraction form
    897.04/1,237.86 = 498.72/x
  3. Step 3: Cross multiply
    897.04x = 1,237.86 × 498.72
  4. Step 4: Simplify right side
    897.04x = 617,345.54
  5. Step 5: Solve for x
    x = 617,345.54/897.04
  6. Step 6: Final answer
    x = 688.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.