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Finding the Fourth Proportional to 1,047.18, 1,445.10 and 581.42

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Solution

The fourth proportional to 1,047.18, 1,445.10 and 581.42 is: 802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.18 : 1,445.10 = 581.42 : x
  2. Step 2: Convert to fraction form
    1,047.18/1,445.10 = 581.42/x
  3. Step 3: Cross multiply
    1,047.18x = 1,445.10 × 581.42
  4. Step 4: Simplify right side
    1,047.18x = 840,210.04
  5. Step 5: Solve for x
    x = 840,210.04/1,047.18
  6. Step 6: Final answer
    x = 802.35

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Why These Related Problems?

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