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Finding the Fourth Proportional to 964.47, 1,330.02 and 632.76

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Solution

The fourth proportional to 964.47, 1,330.02 and 632.76 is: 872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.47 : 1,330.02 = 632.76 : x
  2. Step 2: Convert to fraction form
    964.47/1,330.02 = 632.76/x
  3. Step 3: Cross multiply
    964.47x = 1,330.02 × 632.76
  4. Step 4: Simplify right side
    964.47x = 841,583.46
  5. Step 5: Solve for x
    x = 841,583.46/964.47
  6. Step 6: Final answer
    x = 872.59

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