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Finding the Fourth Proportional to 745.61, 1,029.02 and 430.92

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Solution

The fourth proportional to 745.61, 1,029.02 and 430.92 is: 594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.61 : 1,029.02 = 430.92 : x
  2. Step 2: Convert to fraction form
    745.61/1,029.02 = 430.92/x
  3. Step 3: Cross multiply
    745.61x = 1,029.02 × 430.92
  4. Step 4: Simplify right side
    745.61x = 443,423.14
  5. Step 5: Solve for x
    x = 443,423.14/745.61
  6. Step 6: Final answer
    x = 594.72

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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.