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Finding the Fourth Proportional to 1,652.86, 2,478.65 and 598.37

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Solution

The fourth proportional to 1,652.86, 2,478.65 and 598.37 is: 897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.86 : 2,478.65 = 598.37 : x
  2. Step 2: Convert to fraction form
    1,652.86/2,478.65 = 598.37/x
  3. Step 3: Cross multiply
    1,652.86x = 2,478.65 × 598.37
  4. Step 4: Simplify right side
    1,652.86x = 1,483,153.01
  5. Step 5: Solve for x
    x = 1,483,153.01/1,652.86
  6. Step 6: Final answer
    x = 897.33

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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.