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Finding the Fourth Proportional to 770.87, 1,064.58 and 491.23

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Solution

The fourth proportional to 770.87, 1,064.58 and 491.23 is: 678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.87 : 1,064.58 = 491.23 : x
  2. Step 2: Convert to fraction form
    770.87/1,064.58 = 491.23/x
  3. Step 3: Cross multiply
    770.87x = 1,064.58 × 491.23
  4. Step 4: Simplify right side
    770.87x = 522,953.63
  5. Step 5: Solve for x
    x = 522,953.63/770.87
  6. Step 6: Final answer
    x = 678.39

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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.