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Finding the Fourth Proportional to 1,038.47, 1,557.40 and 389.06

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Solution

The fourth proportional to 1,038.47, 1,557.40 and 389.06 is: 583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.47 : 1,557.40 = 389.06 : x
  2. Step 2: Convert to fraction form
    1,038.47/1,557.40 = 389.06/x
  3. Step 3: Cross multiply
    1,038.47x = 1,557.40 × 389.06
  4. Step 4: Simplify right side
    1,038.47x = 605,914.26
  5. Step 5: Solve for x
    x = 605,914.26/1,038.47
  6. Step 6: Final answer
    x = 583.47

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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.