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Finding the Fourth Proportional to 1,168.17, 1,612.26 and 702.42

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Solution

The fourth proportional to 1,168.17, 1,612.26 and 702.42 is: 969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.17 : 1,612.26 = 702.42 : x
  2. Step 2: Convert to fraction form
    1,168.17/1,612.26 = 702.42/x
  3. Step 3: Cross multiply
    1,168.17x = 1,612.26 × 702.42
  4. Step 4: Simplify right side
    1,168.17x = 1,132,483.67
  5. Step 5: Solve for x
    x = 1,132,483.67/1,168.17
  6. Step 6: Final answer
    x = 969.45

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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.