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Finding the Fourth Proportional to 898.37, 1,345.68 and 590.37

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Solution

The fourth proportional to 898.37, 1,345.68 and 590.37 is: 884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.37 : 1,345.68 = 590.37 : x
  2. Step 2: Convert to fraction form
    898.37/1,345.68 = 590.37/x
  3. Step 3: Cross multiply
    898.37x = 1,345.68 × 590.37
  4. Step 4: Simplify right side
    898.37x = 794,442.37
  5. Step 5: Solve for x
    x = 794,442.37/898.37
  6. Step 6: Final answer
    x = 884.32

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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.