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Finding the Fourth Proportional to 1,001.76, 1,501.62 and 655.32

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Solution

The fourth proportional to 1,001.76, 1,501.62 and 655.32 is: 982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.76 : 1,501.62 = 655.32 : x
  2. Step 2: Convert to fraction form
    1,001.76/1,501.62 = 655.32/x
  3. Step 3: Cross multiply
    1,001.76x = 1,501.62 × 655.32
  4. Step 4: Simplify right side
    1,001.76x = 984,041.62
  5. Step 5: Solve for x
    x = 984,041.62/1,001.76
  6. Step 6: Final answer
    x = 982.31

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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.