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Finding the Fourth Proportional to 1,038.75, 1,557.80 and 345.23

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Solution

The fourth proportional to 1,038.75, 1,557.80 and 345.23 is: 517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.75 : 1,557.80 = 345.23 : x
  2. Step 2: Convert to fraction form
    1,038.75/1,557.80 = 345.23/x
  3. Step 3: Cross multiply
    1,038.75x = 1,557.80 × 345.23
  4. Step 4: Simplify right side
    1,038.75x = 537,799.29
  5. Step 5: Solve for x
    x = 537,799.29/1,038.75
  6. Step 6: Final answer
    x = 517.74

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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.