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Finding the Fourth Proportional to 745.66, 1,112.45 and 710.83

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Solution

The fourth proportional to 745.66, 1,112.45 and 710.83 is: 1,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.66 : 1,112.45 = 710.83 : x
  2. Step 2: Convert to fraction form
    745.66/1,112.45 = 710.83/x
  3. Step 3: Cross multiply
    745.66x = 1,112.45 × 710.83
  4. Step 4: Simplify right side
    745.66x = 790,762.83
  5. Step 5: Solve for x
    x = 790,762.83/745.66
  6. Step 6: Final answer
    x = 1,060.49

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1.5x scale

Why These Related Problems?

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