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Finding the Fourth Proportional to 1,001.77, 1,502.66 and 352.51

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Solution

The fourth proportional to 1,001.77, 1,502.66 and 352.51 is: 528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.77 : 1,502.66 = 352.51 : x
  2. Step 2: Convert to fraction form
    1,001.77/1,502.66 = 352.51/x
  3. Step 3: Cross multiply
    1,001.77x = 1,502.66 × 352.51
  4. Step 4: Simplify right side
    1,001.77x = 529,702.68
  5. Step 5: Solve for x
    x = 529,702.68/1,001.77
  6. Step 6: Final answer
    x = 528.77

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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.