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Finding the Fourth Proportional to 1,043.18, 1,564.82 and 610.03

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Solution

The fourth proportional to 1,043.18, 1,564.82 and 610.03 is: 915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.18 : 1,564.82 = 610.03 : x
  2. Step 2: Convert to fraction form
    1,043.18/1,564.82 = 610.03/x
  3. Step 3: Cross multiply
    1,043.18x = 1,564.82 × 610.03
  4. Step 4: Simplify right side
    1,043.18x = 954,588.34
  5. Step 5: Solve for x
    x = 954,588.34/1,043.18
  6. Step 6: Final answer
    x = 915.08

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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.