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Finding the Fourth Proportional to 1,064.00, 1,468.62 and 710.43

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Solution

The fourth proportional to 1,064.00, 1,468.62 and 710.43 is: 980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.00 : 1,468.62 = 710.43 : x
  2. Step 2: Convert to fraction form
    1,064.00/1,468.62 = 710.43/x
  3. Step 3: Cross multiply
    1,064.00x = 1,468.62 × 710.43
  4. Step 4: Simplify right side
    1,064.00x = 1,043,349.93
  5. Step 5: Solve for x
    x = 1,043,349.93/1,064.00
  6. Step 6: Final answer
    x = 980.60

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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.