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Finding the Fourth Proportional to 1,043.14, 1,564.68 and 359.14

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Solution

The fourth proportional to 1,043.14, 1,564.68 and 359.14 is: 538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.14 : 1,564.68 = 359.14 : x
  2. Step 2: Convert to fraction form
    1,043.14/1,564.68 = 359.14/x
  3. Step 3: Cross multiply
    1,043.14x = 1,564.68 × 359.14
  4. Step 4: Simplify right side
    1,043.14x = 561,939.18
  5. Step 5: Solve for x
    x = 561,939.18/1,043.14
  6. Step 6: Final answer
    x = 538.70

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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.