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Finding the Fourth Proportional to 897.10, 1,343.85 and 458.33

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Solution

The fourth proportional to 897.10, 1,343.85 and 458.33 is: 686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.10 : 1,343.85 = 458.33 : x
  2. Step 2: Convert to fraction form
    897.10/1,343.85 = 458.33/x
  3. Step 3: Cross multiply
    897.10x = 1,343.85 × 458.33
  4. Step 4: Simplify right side
    897.10x = 615,930.13
  5. Step 5: Solve for x
    x = 615,930.13/897.10
  6. Step 6: Final answer
    x = 686.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.