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Finding the Fourth Proportional to 1,043.07, 1,564.90 and 312.70

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Solution

The fourth proportional to 1,043.07, 1,564.90 and 312.70 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.07 : 1,564.90 = 312.70 : x
  2. Step 2: Convert to fraction form
    1,043.07/1,564.90 = 312.70/x
  3. Step 3: Cross multiply
    1,043.07x = 1,564.90 × 312.70
  4. Step 4: Simplify right side
    1,043.07x = 489,344.23
  5. Step 5: Solve for x
    x = 489,344.23/1,043.07
  6. Step 6: Final answer
    x = 469.14

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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.