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Finding the Fourth Proportional to 710.91, 1,070.15 and 643.95

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Solution

The fourth proportional to 710.91, 1,070.15 and 643.95 is: 969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.91 : 1,070.15 = 643.95 : x
  2. Step 2: Convert to fraction form
    710.91/1,070.15 = 643.95/x
  3. Step 3: Cross multiply
    710.91x = 1,070.15 × 643.95
  4. Step 4: Simplify right side
    710.91x = 689,119.87
  5. Step 5: Solve for x
    x = 689,119.87/710.91
  6. Step 6: Final answer
    x = 969.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.