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Finding the Fourth Proportional to 1,552.80, 2,328.46 and 564.93

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Solution

The fourth proportional to 1,552.80, 2,328.46 and 564.93 is: 847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.80 : 2,328.46 = 564.93 : x
  2. Step 2: Convert to fraction form
    1,552.80/2,328.46 = 564.93/x
  3. Step 3: Cross multiply
    1,552.80x = 2,328.46 × 564.93
  4. Step 4: Simplify right side
    1,552.80x = 1,315,416.91
  5. Step 5: Solve for x
    x = 1,315,416.91/1,552.80
  6. Step 6: Final answer
    x = 847.13

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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.