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Finding the Fourth Proportional to 770.69, 1,063.54 and 508.25

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Solution

The fourth proportional to 770.69, 1,063.54 and 508.25 is: 701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.69 : 1,063.54 = 508.25 : x
  2. Step 2: Convert to fraction form
    770.69/1,063.54 = 508.25/x
  3. Step 3: Cross multiply
    770.69x = 1,063.54 × 508.25
  4. Step 4: Simplify right side
    770.69x = 540,547.50
  5. Step 5: Solve for x
    x = 540,547.50/770.69
  6. Step 6: Final answer
    x = 701.38

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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.