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Finding the Fourth Proportional to 1,041.19, 1,561.88 and 464.06

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Solution

The fourth proportional to 1,041.19, 1,561.88 and 464.06 is: 696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.19 : 1,561.88 = 464.06 : x
  2. Step 2: Convert to fraction form
    1,041.19/1,561.88 = 464.06/x
  3. Step 3: Cross multiply
    1,041.19x = 1,561.88 × 464.06
  4. Step 4: Simplify right side
    1,041.19x = 724,811.10
  5. Step 5: Solve for x
    x = 724,811.10/1,041.19
  6. Step 6: Final answer
    x = 696.14

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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.