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Finding the Fourth Proportional to 1,313.62, 1,970.66 and 655.56

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Solution

The fourth proportional to 1,313.62, 1,970.66 and 655.56 is: 983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.62 : 1,970.66 = 655.56 : x
  2. Step 2: Convert to fraction form
    1,313.62/1,970.66 = 655.56/x
  3. Step 3: Cross multiply
    1,313.62x = 1,970.66 × 655.56
  4. Step 4: Simplify right side
    1,313.62x = 1,291,887.51
  5. Step 5: Solve for x
    x = 1,291,887.51/1,313.62
  6. Step 6: Final answer
    x = 983.46

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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.