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Finding the Fourth Proportional to 1,053.84, 1,568.65 and 1,038.25

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Solution

The fourth proportional to 1,053.84, 1,568.65 and 1,038.25 is: 1,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.84 : 1,568.65 = 1,038.25 : x
  2. Step 2: Convert to fraction form
    1,053.84/1,568.65 = 1,038.25/x
  3. Step 3: Cross multiply
    1,053.84x = 1,568.65 × 1,038.25
  4. Step 4: Simplify right side
    1,053.84x = 1,628,644.35
  5. Step 5: Solve for x
    x = 1,628,644.35/1,053.84
  6. Step 6: Final answer
    x = 1,545.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.