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Finding the Fourth Proportional to 1,047.47, 1,445.52 and 581.72

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Solution

The fourth proportional to 1,047.47, 1,445.52 and 581.72 is: 802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.47 : 1,445.52 = 581.72 : x
  2. Step 2: Convert to fraction form
    1,047.47/1,445.52 = 581.72/x
  3. Step 3: Cross multiply
    1,047.47x = 1,445.52 × 581.72
  4. Step 4: Simplify right side
    1,047.47x = 840,887.89
  5. Step 5: Solve for x
    x = 840,887.89/1,047.47
  6. Step 6: Final answer
    x = 802.78

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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.