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Finding the Fourth Proportional to 740.19, 1,023.45 and 647.94

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Solution

The fourth proportional to 740.19, 1,023.45 and 647.94 is: 895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.19 : 1,023.45 = 647.94 : x
  2. Step 2: Convert to fraction form
    740.19/1,023.45 = 647.94/x
  3. Step 3: Cross multiply
    740.19x = 1,023.45 × 647.94
  4. Step 4: Simplify right side
    740.19x = 663,134.19
  5. Step 5: Solve for x
    x = 663,134.19/740.19
  6. Step 6: Final answer
    x = 895.90

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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.