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Finding the Fourth Proportional to 1,590, 2,385.48 and 564.24

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Solution

The fourth proportional to 1,590, 2,385.48 and 564.24 is: 846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590 : 2,385.48 = 564.24 : x
  2. Step 2: Convert to fraction form
    1,590/2,385.48 = 564.24/x
  3. Step 3: Cross multiply
    1,590x = 2,385.48 × 564.24
  4. Step 4: Simplify right side
    1,590x = 1,345,983.24
  5. Step 5: Solve for x
    x = 1,345,983.24/1,590
  6. Step 6: Final answer
    x = 846.53

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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.