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Finding the Fourth Proportional to 1,114.55, 1,538.02 and 715.66

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Solution

The fourth proportional to 1,114.55, 1,538.02 and 715.66 is: 987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.55 : 1,538.02 = 715.66 : x
  2. Step 2: Convert to fraction form
    1,114.55/1,538.02 = 715.66/x
  3. Step 3: Cross multiply
    1,114.55x = 1,538.02 × 715.66
  4. Step 4: Simplify right side
    1,114.55x = 1,100,699.39
  5. Step 5: Solve for x
    x = 1,100,699.39/1,114.55
  6. Step 6: Final answer
    x = 987.57

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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.