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Finding the Fourth Proportional to 1,007.42, 1,390.08 and 565.34

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Solution

The fourth proportional to 1,007.42, 1,390.08 and 565.34 is: 780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.42 : 1,390.08 = 565.34 : x
  2. Step 2: Convert to fraction form
    1,007.42/1,390.08 = 565.34/x
  3. Step 3: Cross multiply
    1,007.42x = 1,390.08 × 565.34
  4. Step 4: Simplify right side
    1,007.42x = 785,867.83
  5. Step 5: Solve for x
    x = 785,867.83/1,007.42
  6. Step 6: Final answer
    x = 780.08

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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.