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Finding the Fourth Proportional to 1,058.46, 1,588.16 and 570.94

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Solution

The fourth proportional to 1,058.46, 1,588.16 and 570.94 is: 856.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.46 : 1,588.16 = 570.94 : x
  2. Step 2: Convert to fraction form
    1,058.46/1,588.16 = 570.94/x
  3. Step 3: Cross multiply
    1,058.46x = 1,588.16 × 570.94
  4. Step 4: Simplify right side
    1,058.46x = 906,744.07
  5. Step 5: Solve for x
    x = 906,744.07/1,058.46
  6. Step 6: Final answer
    x = 856.66

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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.