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Finding the Fourth Proportional to 745.95, 1,029.65 and 466.02

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Solution

The fourth proportional to 745.95, 1,029.65 and 466.02 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.95 : 1,029.65 = 466.02 : x
  2. Step 2: Convert to fraction form
    745.95/1,029.65 = 466.02/x
  3. Step 3: Cross multiply
    745.95x = 1,029.65 × 466.02
  4. Step 4: Simplify right side
    745.95x = 479,835.16
  5. Step 5: Solve for x
    x = 479,835.16/745.95
  6. Step 6: Final answer
    x = 643.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.