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Finding the Fourth Proportional to 1,557.64, 2,335.18 and 583.24

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Solution

The fourth proportional to 1,557.64, 2,335.18 and 583.24 is: 874.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.64 : 2,335.18 = 583.24 : x
  2. Step 2: Convert to fraction form
    1,557.64/2,335.18 = 583.24/x
  3. Step 3: Cross multiply
    1,557.64x = 2,335.18 × 583.24
  4. Step 4: Simplify right side
    1,557.64x = 1,361,970.38
  5. Step 5: Solve for x
    x = 1,361,970.38/1,557.64
  6. Step 6: Final answer
    x = 874.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.