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Finding the Fourth Proportional to 1,307.04, 1,803.66 and 783.24

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Solution

The fourth proportional to 1,307.04, 1,803.66 and 783.24 is: 1,080.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.04 : 1,803.66 = 783.24 : x
  2. Step 2: Convert to fraction form
    1,307.04/1,803.66 = 783.24/x
  3. Step 3: Cross multiply
    1,307.04x = 1,803.66 × 783.24
  4. Step 4: Simplify right side
    1,307.04x = 1,412,698.66
  5. Step 5: Solve for x
    x = 1,412,698.66/1,307.04
  6. Step 6: Final answer
    x = 1,080.84

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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.