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Finding the Fourth Proportional to 783.10, 1,080.03 and 587.08

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Solution

The fourth proportional to 783.10, 1,080.03 and 587.08 is: 809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.10 : 1,080.03 = 587.08 : x
  2. Step 2: Convert to fraction form
    783.10/1,080.03 = 587.08/x
  3. Step 3: Cross multiply
    783.10x = 1,080.03 × 587.08
  4. Step 4: Simplify right side
    783.10x = 634,064.01
  5. Step 5: Solve for x
    x = 634,064.01/783.10
  6. Step 6: Final answer
    x = 809.68

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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.