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Finding the Fourth Proportional to 1,005.54, 1,507.26 and 566.16

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Solution

The fourth proportional to 1,005.54, 1,507.26 and 566.16 is: 848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.54 : 1,507.26 = 566.16 : x
  2. Step 2: Convert to fraction form
    1,005.54/1,507.26 = 566.16/x
  3. Step 3: Cross multiply
    1,005.54x = 1,507.26 × 566.16
  4. Step 4: Simplify right side
    1,005.54x = 853,350.32
  5. Step 5: Solve for x
    x = 853,350.32/1,005.54
  6. Step 6: Final answer
    x = 848.65

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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.