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Finding the Fourth Proportional to 899.14, 1,345.86 and 590.26

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Solution

The fourth proportional to 899.14, 1,345.86 and 590.26 is: 883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.14 : 1,345.86 = 590.26 : x
  2. Step 2: Convert to fraction form
    899.14/1,345.86 = 590.26/x
  3. Step 3: Cross multiply
    899.14x = 1,345.86 × 590.26
  4. Step 4: Simplify right side
    899.14x = 794,407.32
  5. Step 5: Solve for x
    x = 794,407.32/899.14
  6. Step 6: Final answer
    x = 883.52

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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.