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Finding the Fourth Proportional to 745.06, 1,117.41 and 470.77

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Solution

The fourth proportional to 745.06, 1,117.41 and 470.77 is: 706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.06 : 1,117.41 = 470.77 : x
  2. Step 2: Convert to fraction form
    745.06/1,117.41 = 470.77/x
  3. Step 3: Cross multiply
    745.06x = 1,117.41 × 470.77
  4. Step 4: Simplify right side
    745.06x = 526,043.11
  5. Step 5: Solve for x
    x = 526,043.11/745.06
  6. Step 6: Final answer
    x = 706.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.