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Finding the Fourth Proportional to 803.04, 1,109.10 and 715.56

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Solution

The fourth proportional to 803.04, 1,109.10 and 715.56 is: 988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.04 : 1,109.10 = 715.56 : x
  2. Step 2: Convert to fraction form
    803.04/1,109.10 = 715.56/x
  3. Step 3: Cross multiply
    803.04x = 1,109.10 × 715.56
  4. Step 4: Simplify right side
    803.04x = 793,627.60
  5. Step 5: Solve for x
    x = 793,627.60/803.04
  6. Step 6: Final answer
    x = 988.28

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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.