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Finding the Fourth Proportional to 1,460.74, 2,190.28 and 594.04

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Solution

The fourth proportional to 1,460.74, 2,190.28 and 594.04 is: 890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.74 : 2,190.28 = 594.04 : x
  2. Step 2: Convert to fraction form
    1,460.74/2,190.28 = 594.04/x
  3. Step 3: Cross multiply
    1,460.74x = 2,190.28 × 594.04
  4. Step 4: Simplify right side
    1,460.74x = 1,301,113.93
  5. Step 5: Solve for x
    x = 1,301,113.93/1,460.74
  6. Step 6: Final answer
    x = 890.72

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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.