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Finding the Fourth Proportional to 1,307.30, 1,803.86 and 783.33

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Solution

The fourth proportional to 1,307.30, 1,803.86 and 783.33 is: 1,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.30 : 1,803.86 = 783.33 : x
  2. Step 2: Convert to fraction form
    1,307.30/1,803.86 = 783.33/x
  3. Step 3: Cross multiply
    1,307.30x = 1,803.86 × 783.33
  4. Step 4: Simplify right side
    1,307.30x = 1,413,017.65
  5. Step 5: Solve for x
    x = 1,413,017.65/1,307.30
  6. Step 6: Final answer
    x = 1,080.87

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1.5x scale

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.