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Finding the Fourth Proportional to 1,078.34, 1,487.86 and 630.14

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Solution

The fourth proportional to 1,078.34, 1,487.86 and 630.14 is: 869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.34 : 1,487.86 = 630.14 : x
  2. Step 2: Convert to fraction form
    1,078.34/1,487.86 = 630.14/x
  3. Step 3: Cross multiply
    1,078.34x = 1,487.86 × 630.14
  4. Step 4: Simplify right side
    1,078.34x = 937,560.10
  5. Step 5: Solve for x
    x = 937,560.10/1,078.34
  6. Step 6: Final answer
    x = 869.45

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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.