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Finding the Fourth Proportional to 1,052.65, 1,577.49 and 566.11

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Solution

The fourth proportional to 1,052.65, 1,577.49 and 566.11 is: 848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.65 : 1,577.49 = 566.11 : x
  2. Step 2: Convert to fraction form
    1,052.65/1,577.49 = 566.11/x
  3. Step 3: Cross multiply
    1,052.65x = 1,577.49 × 566.11
  4. Step 4: Simplify right side
    1,052.65x = 893,032.86
  5. Step 5: Solve for x
    x = 893,032.86/1,052.65
  6. Step 6: Final answer
    x = 848.37

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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.