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Finding the Fourth Proportional to 1,043.39, 1,564.95 and 312.77

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Solution

The fourth proportional to 1,043.39, 1,564.95 and 312.77 is: 469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.39 : 1,564.95 = 312.77 : x
  2. Step 2: Convert to fraction form
    1,043.39/1,564.95 = 312.77/x
  3. Step 3: Cross multiply
    1,043.39x = 1,564.95 × 312.77
  4. Step 4: Simplify right side
    1,043.39x = 489,469.41
  5. Step 5: Solve for x
    x = 489,469.41/1,043.39
  6. Step 6: Final answer
    x = 469.11

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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.