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Finding the Fourth Proportional to 875.55, 1,207.40 and 678.99

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Solution

The fourth proportional to 875.55, 1,207.40 and 678.99 is: 936.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.55 : 1,207.40 = 678.99 : x
  2. Step 2: Convert to fraction form
    875.55/1,207.40 = 678.99/x
  3. Step 3: Cross multiply
    875.55x = 1,207.40 × 678.99
  4. Step 4: Simplify right side
    875.55x = 819,809.13
  5. Step 5: Solve for x
    x = 819,809.13/875.55
  6. Step 6: Final answer
    x = 936.34

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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.