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Finding the Fourth Proportional to 1,043.90, 1,440.74 and 595.77

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Solution

The fourth proportional to 1,043.90, 1,440.74 and 595.77 is: 822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.90 : 1,440.74 = 595.77 : x
  2. Step 2: Convert to fraction form
    1,043.90/1,440.74 = 595.77/x
  3. Step 3: Cross multiply
    1,043.90x = 1,440.74 × 595.77
  4. Step 4: Simplify right side
    1,043.90x = 858,347.34
  5. Step 5: Solve for x
    x = 858,347.34/1,043.90
  6. Step 6: Final answer
    x = 822.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.