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Finding the Fourth Proportional to 1,051.46, 1,577.16 and 565.46

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Solution

The fourth proportional to 1,051.46, 1,577.16 and 565.46 is: 848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.46 : 1,577.16 = 565.46 : x
  2. Step 2: Convert to fraction form
    1,051.46/1,577.16 = 565.46/x
  3. Step 3: Cross multiply
    1,051.46x = 1,577.16 × 565.46
  4. Step 4: Simplify right side
    1,051.46x = 891,820.89
  5. Step 5: Solve for x
    x = 891,820.89/1,051.46
  6. Step 6: Final answer
    x = 848.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.