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Finding the Fourth Proportional to 1,546.99, 2,320.35 and 573.10

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Solution

The fourth proportional to 1,546.99, 2,320.35 and 573.10 is: 859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.99 : 2,320.35 = 573.10 : x
  2. Step 2: Convert to fraction form
    1,546.99/2,320.35 = 573.10/x
  3. Step 3: Cross multiply
    1,546.99x = 2,320.35 × 573.10
  4. Step 4: Simplify right side
    1,546.99x = 1,329,792.59
  5. Step 5: Solve for x
    x = 1,329,792.59/1,546.99
  6. Step 6: Final answer
    x = 859.60

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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.