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Finding the Fourth Proportional to 897.78, 1,346.90 and 458.86

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Solution

The fourth proportional to 897.78, 1,346.90 and 458.86 is: 688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.78 : 1,346.90 = 458.86 : x
  2. Step 2: Convert to fraction form
    897.78/1,346.90 = 458.86/x
  3. Step 3: Cross multiply
    897.78x = 1,346.90 × 458.86
  4. Step 4: Simplify right side
    897.78x = 618,036.24
  5. Step 5: Solve for x
    x = 618,036.24/897.78
  6. Step 6: Final answer
    x = 688.40

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Why These Related Problems?

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