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Finding the Fourth Proportional to 875.16, 1,205.10 and 689.40

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Solution

The fourth proportional to 875.16, 1,205.10 and 689.40 is: 949.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.16 : 1,205.10 = 689.40 : x
  2. Step 2: Convert to fraction form
    875.16/1,205.10 = 689.40/x
  3. Step 3: Cross multiply
    875.16x = 1,205.10 × 689.40
  4. Step 4: Simplify right side
    875.16x = 830,795.94
  5. Step 5: Solve for x
    x = 830,795.94/875.16
  6. Step 6: Final answer
    x = 949.31

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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.