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Finding the Fourth Proportional to 1,575.74, 2,364.60 and 601.94

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Solution

The fourth proportional to 1,575.74, 2,364.60 and 601.94 is: 903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.74 : 2,364.60 = 601.94 : x
  2. Step 2: Convert to fraction form
    1,575.74/2,364.60 = 601.94/x
  3. Step 3: Cross multiply
    1,575.74x = 2,364.60 × 601.94
  4. Step 4: Simplify right side
    1,575.74x = 1,423,347.32
  5. Step 5: Solve for x
    x = 1,423,347.32/1,575.74
  6. Step 6: Final answer
    x = 903.29

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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.