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Finding the Fourth Proportional to 1,050.64, 1,575.54 and 473.14

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Solution

The fourth proportional to 1,050.64, 1,575.54 and 473.14 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.64 : 1,575.54 = 473.14 : x
  2. Step 2: Convert to fraction form
    1,050.64/1,575.54 = 473.14/x
  3. Step 3: Cross multiply
    1,050.64x = 1,575.54 × 473.14
  4. Step 4: Simplify right side
    1,050.64x = 745,451.00
  5. Step 5: Solve for x
    x = 745,451.00/1,050.64
  6. Step 6: Final answer
    x = 709.52

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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.