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Finding the Fourth Proportional to 766.69, 1,058.01 and 430.57

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Solution

The fourth proportional to 766.69, 1,058.01 and 430.57 is: 594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.69 : 1,058.01 = 430.57 : x
  2. Step 2: Convert to fraction form
    766.69/1,058.01 = 430.57/x
  3. Step 3: Cross multiply
    766.69x = 1,058.01 × 430.57
  4. Step 4: Simplify right side
    766.69x = 455,547.07
  5. Step 5: Solve for x
    x = 455,547.07/766.69
  6. Step 6: Final answer
    x = 594.17

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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.