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Finding the Fourth Proportional to 1,557.15, 2,335.67 and 461.51

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Solution

The fourth proportional to 1,557.15, 2,335.67 and 461.51 is: 692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.15 : 2,335.67 = 461.51 : x
  2. Step 2: Convert to fraction form
    1,557.15/2,335.67 = 461.51/x
  3. Step 3: Cross multiply
    1,557.15x = 2,335.67 × 461.51
  4. Step 4: Simplify right side
    1,557.15x = 1,077,935.06
  5. Step 5: Solve for x
    x = 1,077,935.06/1,557.15
  6. Step 6: Final answer
    x = 692.25

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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.