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Finding the Fourth Proportional to 897.56, 1,237.48 and 582.27

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Solution

The fourth proportional to 897.56, 1,237.48 and 582.27 is: 802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.56 : 1,237.48 = 582.27 : x
  2. Step 2: Convert to fraction form
    897.56/1,237.48 = 582.27/x
  3. Step 3: Cross multiply
    897.56x = 1,237.48 × 582.27
  4. Step 4: Simplify right side
    897.56x = 720,547.48
  5. Step 5: Solve for x
    x = 720,547.48/897.56
  6. Step 6: Final answer
    x = 802.78

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Why These Related Problems?

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