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Finding the Fourth Proportional to 1,053.79, 1,580.07 and 436.98

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Solution

The fourth proportional to 1,053.79, 1,580.07 and 436.98 is: 655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.79 : 1,580.07 = 436.98 : x
  2. Step 2: Convert to fraction form
    1,053.79/1,580.07 = 436.98/x
  3. Step 3: Cross multiply
    1,053.79x = 1,580.07 × 436.98
  4. Step 4: Simplify right side
    1,053.79x = 690,458.99
  5. Step 5: Solve for x
    x = 690,458.99/1,053.79
  6. Step 6: Final answer
    x = 655.21

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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.