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Finding the Fourth Proportional to 1,043.02, 1,564.73 and 349.91

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Solution

The fourth proportional to 1,043.02, 1,564.73 and 349.91 is: 524.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.02 : 1,564.73 = 349.91 : x
  2. Step 2: Convert to fraction form
    1,043.02/1,564.73 = 349.91/x
  3. Step 3: Cross multiply
    1,043.02x = 1,564.73 × 349.91
  4. Step 4: Simplify right side
    1,043.02x = 547,514.67
  5. Step 5: Solve for x
    x = 547,514.67/1,043.02
  6. Step 6: Final answer
    x = 524.93

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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.