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Finding the Fourth Proportional to 1,557.04, 2,334.86 and 461.02

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Solution

The fourth proportional to 1,557.04, 2,334.86 and 461.02 is: 691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.04 : 2,334.86 = 461.02 : x
  2. Step 2: Convert to fraction form
    1,557.04/2,334.86 = 461.02/x
  3. Step 3: Cross multiply
    1,557.04x = 2,334.86 × 461.02
  4. Step 4: Simplify right side
    1,557.04x = 1,076,403.18
  5. Step 5: Solve for x
    x = 1,076,403.18/1,557.04
  6. Step 6: Final answer
    x = 691.32

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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.