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Finding the Fourth Proportional to 1,306.16, 1,802.32 and 782.12

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Solution

The fourth proportional to 1,306.16, 1,802.32 and 782.12 is: 1,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.16 : 1,802.32 = 782.12 : x
  2. Step 2: Convert to fraction form
    1,306.16/1,802.32 = 782.12/x
  3. Step 3: Cross multiply
    1,306.16x = 1,802.32 × 782.12
  4. Step 4: Simplify right side
    1,306.16x = 1,409,630.52
  5. Step 5: Solve for x
    x = 1,409,630.52/1,306.16
  6. Step 6: Final answer
    x = 1,079.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.