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Finding the Fourth Proportional to 1,113.35, 1,670.64 and 702.68

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Solution

The fourth proportional to 1,113.35, 1,670.64 and 702.68 is: 1,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.35 : 1,670.64 = 702.68 : x
  2. Step 2: Convert to fraction form
    1,113.35/1,670.64 = 702.68/x
  3. Step 3: Cross multiply
    1,113.35x = 1,670.64 × 702.68
  4. Step 4: Simplify right side
    1,113.35x = 1,173,921.80
  5. Step 5: Solve for x
    x = 1,173,921.80/1,113.35
  6. Step 6: Final answer
    x = 1,054.40

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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.