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Finding the Fourth Proportional to 1,058.32, 1,586.85 and 510.67

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Solution

The fourth proportional to 1,058.32, 1,586.85 and 510.67 is: 765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.32 : 1,586.85 = 510.67 : x
  2. Step 2: Convert to fraction form
    1,058.32/1,586.85 = 510.67/x
  3. Step 3: Cross multiply
    1,058.32x = 1,586.85 × 510.67
  4. Step 4: Simplify right side
    1,058.32x = 810,356.69
  5. Step 5: Solve for x
    x = 810,356.69/1,058.32
  6. Step 6: Final answer
    x = 765.70

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