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Finding the Fourth Proportional to 700.84, 1,050.14 and 597.80

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Solution

The fourth proportional to 700.84, 1,050.14 and 597.80 is: 895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.84 : 1,050.14 = 597.80 : x
  2. Step 2: Convert to fraction form
    700.84/1,050.14 = 597.80/x
  3. Step 3: Cross multiply
    700.84x = 1,050.14 × 597.80
  4. Step 4: Simplify right side
    700.84x = 627,773.69
  5. Step 5: Solve for x
    x = 627,773.69/700.84
  6. Step 6: Final answer
    x = 895.74

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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.