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Finding the Fourth Proportional to 1,053.42, 1,580.58 and 565.91

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Solution

The fourth proportional to 1,053.42, 1,580.58 and 565.91 is: 849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.42 : 1,580.58 = 565.91 : x
  2. Step 2: Convert to fraction form
    1,053.42/1,580.58 = 565.91/x
  3. Step 3: Cross multiply
    1,053.42x = 1,580.58 × 565.91
  4. Step 4: Simplify right side
    1,053.42x = 894,458.12
  5. Step 5: Solve for x
    x = 894,458.12/1,053.42
  6. Step 6: Final answer
    x = 849.10

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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.