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Finding the Fourth Proportional to 770.52, 1,063.32 and 421.20

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Solution

The fourth proportional to 770.52, 1,063.32 and 421.20 is: 581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.52 : 1,063.32 = 421.20 : x
  2. Step 2: Convert to fraction form
    770.52/1,063.32 = 421.20/x
  3. Step 3: Cross multiply
    770.52x = 1,063.32 × 421.20
  4. Step 4: Simplify right side
    770.52x = 447,870.38
  5. Step 5: Solve for x
    x = 447,870.38/770.52
  6. Step 6: Final answer
    x = 581.26

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Double scale
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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.