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Finding the Fourth Proportional to 1,577.32, 2,365.68 and 590

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Solution

The fourth proportional to 1,577.32, 2,365.68 and 590 is: 884.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.32 : 2,365.68 = 590 : x
  2. Step 2: Convert to fraction form
    1,577.32/2,365.68 = 590/x
  3. Step 3: Cross multiply
    1,577.32x = 2,365.68 × 590
  4. Step 4: Simplify right side
    1,577.32x = 1,395,751.20
  5. Step 5: Solve for x
    x = 1,395,751.20/1,577.32
  6. Step 6: Final answer
    x = 884.89

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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.