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Finding the Fourth Proportional to 1,561.32, 2,341.77 and 465.48

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Solution

The fourth proportional to 1,561.32, 2,341.77 and 465.48 is: 698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.32 : 2,341.77 = 465.48 : x
  2. Step 2: Convert to fraction form
    1,561.32/2,341.77 = 465.48/x
  3. Step 3: Cross multiply
    1,561.32x = 2,341.77 × 465.48
  4. Step 4: Simplify right side
    1,561.32x = 1,090,047.10
  5. Step 5: Solve for x
    x = 1,090,047.10/1,561.32
  6. Step 6: Final answer
    x = 698.16

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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.