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Finding the Fourth Proportional to 698.61, 1,048.10 and 493.58

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Solution

The fourth proportional to 698.61, 1,048.10 and 493.58 is: 740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.61 : 1,048.10 = 493.58 : x
  2. Step 2: Convert to fraction form
    698.61/1,048.10 = 493.58/x
  3. Step 3: Cross multiply
    698.61x = 1,048.10 × 493.58
  4. Step 4: Simplify right side
    698.61x = 517,317.42
  5. Step 5: Solve for x
    x = 517,317.42/698.61
  6. Step 6: Final answer
    x = 740.50

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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.