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Finding the Fourth Proportional to 1,087.51, 1,500.40 and 615.34

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Solution

The fourth proportional to 1,087.51, 1,500.40 and 615.34 is: 848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.51 : 1,500.40 = 615.34 : x
  2. Step 2: Convert to fraction form
    1,087.51/1,500.40 = 615.34/x
  3. Step 3: Cross multiply
    1,087.51x = 1,500.40 × 615.34
  4. Step 4: Simplify right side
    1,087.51x = 923,256.14
  5. Step 5: Solve for x
    x = 923,256.14/1,087.51
  6. Step 6: Final answer
    x = 848.96

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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.