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Finding the Fourth Proportional to 1,004.16, 1,385.76 and 562.06

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Solution

The fourth proportional to 1,004.16, 1,385.76 and 562.06 is: 775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.16 : 1,385.76 = 562.06 : x
  2. Step 2: Convert to fraction form
    1,004.16/1,385.76 = 562.06/x
  3. Step 3: Cross multiply
    1,004.16x = 1,385.76 × 562.06
  4. Step 4: Simplify right side
    1,004.16x = 778,880.27
  5. Step 5: Solve for x
    x = 778,880.27/1,004.16
  6. Step 6: Final answer
    x = 775.65

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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.