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Finding the Fourth Proportional to 1,309.32, 1,962.13 and 782.45

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Solution

The fourth proportional to 1,309.32, 1,962.13 and 782.45 is: 1,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.32 : 1,962.13 = 782.45 : x
  2. Step 2: Convert to fraction form
    1,309.32/1,962.13 = 782.45/x
  3. Step 3: Cross multiply
    1,309.32x = 1,962.13 × 782.45
  4. Step 4: Simplify right side
    1,309.32x = 1,535,276.71
  5. Step 5: Solve for x
    x = 1,535,276.71/1,309.32
  6. Step 6: Final answer
    x = 1,172.58

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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.