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Finding the Fourth Proportional to 698.93, 1,047.18 and 595.25

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Solution

The fourth proportional to 698.93, 1,047.18 and 595.25 is: 891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.93 : 1,047.18 = 595.25 : x
  2. Step 2: Convert to fraction form
    698.93/1,047.18 = 595.25/x
  3. Step 3: Cross multiply
    698.93x = 1,047.18 × 595.25
  4. Step 4: Simplify right side
    698.93x = 623,333.90
  5. Step 5: Solve for x
    x = 623,333.90/698.93
  6. Step 6: Final answer
    x = 891.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.