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Finding the Fourth Proportional to 1,053.63, 1,580.68 and 429.08

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Solution

The fourth proportional to 1,053.63, 1,580.68 and 429.08 is: 643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.63 : 1,580.68 = 429.08 : x
  2. Step 2: Convert to fraction form
    1,053.63/1,580.68 = 429.08/x
  3. Step 3: Cross multiply
    1,053.63x = 1,580.68 × 429.08
  4. Step 4: Simplify right side
    1,053.63x = 678,244.56
  5. Step 5: Solve for x
    x = 678,244.56/1,053.63
  6. Step 6: Final answer
    x = 643.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.