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Finding the Fourth Proportional to 975.34, 1,345.80 and 561.34

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Solution

The fourth proportional to 975.34, 1,345.80 and 561.34 is: 774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.34 : 1,345.80 = 561.34 : x
  2. Step 2: Convert to fraction form
    975.34/1,345.80 = 561.34/x
  3. Step 3: Cross multiply
    975.34x = 1,345.80 × 561.34
  4. Step 4: Simplify right side
    975.34x = 755,451.37
  5. Step 5: Solve for x
    x = 755,451.37/975.34
  6. Step 6: Final answer
    x = 774.55

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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.