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Finding the Fourth Proportional to 1,335.76, 2,004.33 and 595.89

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Solution

The fourth proportional to 1,335.76, 2,004.33 and 595.89 is: 894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.76 : 2,004.33 = 595.89 : x
  2. Step 2: Convert to fraction form
    1,335.76/2,004.33 = 595.89/x
  3. Step 3: Cross multiply
    1,335.76x = 2,004.33 × 595.89
  4. Step 4: Simplify right side
    1,335.76x = 1,194,360.20
  5. Step 5: Solve for x
    x = 1,194,360.20/1,335.76
  6. Step 6: Final answer
    x = 894.14

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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.