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Finding the Fourth Proportional to 805.32, 1,207.80 and 573.50

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Solution

The fourth proportional to 805.32, 1,207.80 and 573.50 is: 860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.32 : 1,207.80 = 573.50 : x
  2. Step 2: Convert to fraction form
    805.32/1,207.80 = 573.50/x
  3. Step 3: Cross multiply
    805.32x = 1,207.80 × 573.50
  4. Step 4: Simplify right side
    805.32x = 692,667.26
  5. Step 5: Solve for x
    x = 692,667.26/805.32
  6. Step 6: Final answer
    x = 860.11

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1.5x scale

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.