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Finding the Fourth Proportional to 700.08, 964.62 and 525.12

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Solution

The fourth proportional to 700.08, 964.62 and 525.12 is: 723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.08 : 964.62 = 525.12 : x
  2. Step 2: Convert to fraction form
    700.08/964.62 = 525.12/x
  3. Step 3: Cross multiply
    700.08x = 964.62 × 525.12
  4. Step 4: Simplify right side
    700.08x = 506,541.25
  5. Step 5: Solve for x
    x = 506,541.25/700.08
  6. Step 6: Final answer
    x = 723.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.