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Finding the Fourth Proportional to 964.55, 1,330.55 and 586.19

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Solution

The fourth proportional to 964.55, 1,330.55 and 586.19 is: 808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.55 : 1,330.55 = 586.19 : x
  2. Step 2: Convert to fraction form
    964.55/1,330.55 = 586.19/x
  3. Step 3: Cross multiply
    964.55x = 1,330.55 × 586.19
  4. Step 4: Simplify right side
    964.55x = 779,955.10
  5. Step 5: Solve for x
    x = 779,955.10/964.55
  6. Step 6: Final answer
    x = 808.62

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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.