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Finding the Fourth Proportional to 710.95, 1,064.12 and 612.54

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Solution

The fourth proportional to 710.95, 1,064.12 and 612.54 is: 916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.95 : 1,064.12 = 612.54 : x
  2. Step 2: Convert to fraction form
    710.95/1,064.12 = 612.54/x
  3. Step 3: Cross multiply
    710.95x = 1,064.12 × 612.54
  4. Step 4: Simplify right side
    710.95x = 651,816.06
  5. Step 5: Solve for x
    x = 651,816.06/710.95
  6. Step 6: Final answer
    x = 916.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.