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Finding the Fourth Proportional to 770.08, 1,061.90 and 707.66

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Solution

The fourth proportional to 770.08, 1,061.90 and 707.66 is: 975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.08 : 1,061.90 = 707.66 : x
  2. Step 2: Convert to fraction form
    770.08/1,061.90 = 707.66/x
  3. Step 3: Cross multiply
    770.08x = 1,061.90 × 707.66
  4. Step 4: Simplify right side
    770.08x = 751,459.29
  5. Step 5: Solve for x
    x = 751,459.29/770.08
  6. Step 6: Final answer
    x = 975.82

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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.