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Finding the Fourth Proportional to 964.13, 1,330.69 and 610.01

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Solution

The fourth proportional to 964.13, 1,330.69 and 610.01 is: 841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.13 : 1,330.69 = 610.01 : x
  2. Step 2: Convert to fraction form
    964.13/1,330.69 = 610.01/x
  3. Step 3: Cross multiply
    964.13x = 1,330.69 × 610.01
  4. Step 4: Simplify right side
    964.13x = 811,727.55
  5. Step 5: Solve for x
    x = 811,727.55/964.13
  6. Step 6: Final answer
    x = 841.93

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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.