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Finding the Fourth Proportional to 1,047.16, 1,444.98 and 581.38

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Solution

The fourth proportional to 1,047.16, 1,444.98 and 581.38 is: 802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.16 : 1,444.98 = 581.38 : x
  2. Step 2: Convert to fraction form
    1,047.16/1,444.98 = 581.38/x
  3. Step 3: Cross multiply
    1,047.16x = 1,444.98 × 581.38
  4. Step 4: Simplify right side
    1,047.16x = 840,082.47
  5. Step 5: Solve for x
    x = 840,082.47/1,047.16
  6. Step 6: Final answer
    x = 802.25

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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.