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Finding the Fourth Proportional to 719.03, 1,070.56 and 714.98

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Solution

The fourth proportional to 719.03, 1,070.56 and 714.98 is: 1,064.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.03 : 1,070.56 = 714.98 : x
  2. Step 2: Convert to fraction form
    719.03/1,070.56 = 714.98/x
  3. Step 3: Cross multiply
    719.03x = 1,070.56 × 714.98
  4. Step 4: Simplify right side
    719.03x = 765,421.85
  5. Step 5: Solve for x
    x = 765,421.85/719.03
  6. Step 6: Final answer
    x = 1,064.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.