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Finding the Fourth Proportional to 1,043.17, 1,564.28 and 312.80

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Solution

The fourth proportional to 1,043.17, 1,564.28 and 312.80 is: 469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.17 : 1,564.28 = 312.80 : x
  2. Step 2: Convert to fraction form
    1,043.17/1,564.28 = 312.80/x
  3. Step 3: Cross multiply
    1,043.17x = 1,564.28 × 312.80
  4. Step 4: Simplify right side
    1,043.17x = 489,305.61
  5. Step 5: Solve for x
    x = 489,305.61/1,043.17
  6. Step 6: Final answer
    x = 469.06

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