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Finding the Fourth Proportional to 922.86, 1,275.35 and 745.47

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Solution

The fourth proportional to 922.86, 1,275.35 and 745.47 is: 1,030.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.86 : 1,275.35 = 745.47 : x
  2. Step 2: Convert to fraction form
    922.86/1,275.35 = 745.47/x
  3. Step 3: Cross multiply
    922.86x = 1,275.35 × 745.47
  4. Step 4: Simplify right side
    922.86x = 950,731.44
  5. Step 5: Solve for x
    x = 950,731.44/922.86
  6. Step 6: Final answer
    x = 1,030.20

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1.5x scale

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.