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Finding the Fourth Proportional to 1,557.95, 2,336.27 and 503.51

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Solution

The fourth proportional to 1,557.95, 2,336.27 and 503.51 is: 755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.95 : 2,336.27 = 503.51 : x
  2. Step 2: Convert to fraction form
    1,557.95/2,336.27 = 503.51/x
  3. Step 3: Cross multiply
    1,557.95x = 2,336.27 × 503.51
  4. Step 4: Simplify right side
    1,557.95x = 1,176,321.11
  5. Step 5: Solve for x
    x = 1,176,321.11/1,557.95
  6. Step 6: Final answer
    x = 755.05

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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.