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Finding the Fourth Proportional to 770.23, 1,061.94 and 658.18

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Solution

The fourth proportional to 770.23, 1,061.94 and 658.18 is: 907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.23 : 1,061.94 = 658.18 : x
  2. Step 2: Convert to fraction form
    770.23/1,061.94 = 658.18/x
  3. Step 3: Cross multiply
    770.23x = 1,061.94 × 658.18
  4. Step 4: Simplify right side
    770.23x = 698,947.67
  5. Step 5: Solve for x
    x = 698,947.67/770.23
  6. Step 6: Final answer
    x = 907.45

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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.