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Finding the Fourth Proportional to 1,004.18, 1,385.66 and 562.08

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Solution

The fourth proportional to 1,004.18, 1,385.66 and 562.08 is: 775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.18 : 1,385.66 = 562.08 : x
  2. Step 2: Convert to fraction form
    1,004.18/1,385.66 = 562.08/x
  3. Step 3: Cross multiply
    1,004.18x = 1,385.66 × 562.08
  4. Step 4: Simplify right side
    1,004.18x = 778,851.77
  5. Step 5: Solve for x
    x = 778,851.77/1,004.18
  6. Step 6: Final answer
    x = 775.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.