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Finding the Fourth Proportional to 700.53, 1,050.36 and 597.88

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Solution

The fourth proportional to 700.53, 1,050.36 and 597.88 is: 896.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.53 : 1,050.36 = 597.88 : x
  2. Step 2: Convert to fraction form
    700.53/1,050.36 = 597.88/x
  3. Step 3: Cross multiply
    700.53x = 1,050.36 × 597.88
  4. Step 4: Simplify right side
    700.53x = 627,989.24
  5. Step 5: Solve for x
    x = 627,989.24/700.53
  6. Step 6: Final answer
    x = 896.45

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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.