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Finding the Fourth Proportional to 1,050.83, 1,450.45 and 702.53

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Solution

The fourth proportional to 1,050.83, 1,450.45 and 702.53 is: 969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.83 : 1,450.45 = 702.53 : x
  2. Step 2: Convert to fraction form
    1,050.83/1,450.45 = 702.53/x
  3. Step 3: Cross multiply
    1,050.83x = 1,450.45 × 702.53
  4. Step 4: Simplify right side
    1,050.83x = 1,018,989.14
  5. Step 5: Solve for x
    x = 1,018,989.14/1,050.83
  6. Step 6: Final answer
    x = 969.70

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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.