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Finding the Fourth Proportional to 1,700.17, 2,547.88 and 773.46

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Solution

The fourth proportional to 1,700.17, 2,547.88 and 773.46 is: 1,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.17 : 2,547.88 = 773.46 : x
  2. Step 2: Convert to fraction form
    1,700.17/2,547.88 = 773.46/x
  3. Step 3: Cross multiply
    1,700.17x = 2,547.88 × 773.46
  4. Step 4: Simplify right side
    1,700.17x = 1,970,683.26
  5. Step 5: Solve for x
    x = 1,970,683.26/1,700.17
  6. Step 6: Final answer
    x = 1,159.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.