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Finding the Fourth Proportional to 1,051.29, 1,573.98 and 556.58

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Solution

The fourth proportional to 1,051.29, 1,573.98 and 556.58 is: 833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.29 : 1,573.98 = 556.58 : x
  2. Step 2: Convert to fraction form
    1,051.29/1,573.98 = 556.58/x
  3. Step 3: Cross multiply
    1,051.29x = 1,573.98 × 556.58
  4. Step 4: Simplify right side
    1,051.29x = 876,042.82
  5. Step 5: Solve for x
    x = 876,042.82/1,051.29
  6. Step 6: Final answer
    x = 833.30

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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.