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Finding the Fourth Proportional to 882, 1,323 and 497.28

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Solution

The fourth proportional to 882, 1,323 and 497.28 is: 745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    882 : 1,323 = 497.28 : x
  2. Step 2: Convert to fraction form
    882/1,323 = 497.28/x
  3. Step 3: Cross multiply
    882x = 1,323 × 497.28
  4. Step 4: Simplify right side
    882x = 657,901.44
  5. Step 5: Solve for x
    x = 657,901.44/882
  6. Step 6: Final answer
    x = 745.92

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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.