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Finding the Fourth Proportional to 1,048.86, 1,572.15 and 527.61

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Solution

The fourth proportional to 1,048.86, 1,572.15 and 527.61 is: 790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.86 : 1,572.15 = 527.61 : x
  2. Step 2: Convert to fraction form
    1,048.86/1,572.15 = 527.61/x
  3. Step 3: Cross multiply
    1,048.86x = 1,572.15 × 527.61
  4. Step 4: Simplify right side
    1,048.86x = 829,482.06
  5. Step 5: Solve for x
    x = 829,482.06/1,048.86
  6. Step 6: Final answer
    x = 790.84

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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.