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Finding the Fourth Proportional to 718.79, 989.70 and 542

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Solution

The fourth proportional to 718.79, 989.70 and 542 is: 746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.79 : 989.70 = 542 : x
  2. Step 2: Convert to fraction form
    718.79/989.70 = 542/x
  3. Step 3: Cross multiply
    718.79x = 989.70 × 542
  4. Step 4: Simplify right side
    718.79x = 536,417.40
  5. Step 5: Solve for x
    x = 536,417.40/718.79
  6. Step 6: Final answer
    x = 746.28

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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.