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Finding the Fourth Proportional to 1,568.13, 2,352.47 and 702.51

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Solution

The fourth proportional to 1,568.13, 2,352.47 and 702.51 is: 1,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.13 : 2,352.47 = 702.51 : x
  2. Step 2: Convert to fraction form
    1,568.13/2,352.47 = 702.51/x
  3. Step 3: Cross multiply
    1,568.13x = 2,352.47 × 702.51
  4. Step 4: Simplify right side
    1,568.13x = 1,652,630.19
  5. Step 5: Solve for x
    x = 1,652,630.19/1,568.13
  6. Step 6: Final answer
    x = 1,053.89

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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.