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Finding the Fourth Proportional to 700.90, 1,052.28 and 598.84

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Solution

The fourth proportional to 700.90, 1,052.28 and 598.84 is: 899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.90 : 1,052.28 = 598.84 : x
  2. Step 2: Convert to fraction form
    700.90/1,052.28 = 598.84/x
  3. Step 3: Cross multiply
    700.90x = 1,052.28 × 598.84
  4. Step 4: Simplify right side
    700.90x = 630,139.10
  5. Step 5: Solve for x
    x = 630,139.10/700.90
  6. Step 6: Final answer
    x = 899.05

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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.