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Finding the Fourth Proportional to 1,206.16, 1,809.30 and 340.48

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Solution

The fourth proportional to 1,206.16, 1,809.30 and 340.48 is: 510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.16 : 1,809.30 = 340.48 : x
  2. Step 2: Convert to fraction form
    1,206.16/1,809.30 = 340.48/x
  3. Step 3: Cross multiply
    1,206.16x = 1,809.30 × 340.48
  4. Step 4: Simplify right side
    1,206.16x = 616,030.46
  5. Step 5: Solve for x
    x = 616,030.46/1,206.16
  6. Step 6: Final answer
    x = 510.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.