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Finding the Fourth Proportional to 1,058.41, 1,588.64 and 510.98

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Solution

The fourth proportional to 1,058.41, 1,588.64 and 510.98 is: 766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.41 : 1,588.64 = 510.98 : x
  2. Step 2: Convert to fraction form
    1,058.41/1,588.64 = 510.98/x
  3. Step 3: Cross multiply
    1,058.41x = 1,588.64 × 510.98
  4. Step 4: Simplify right side
    1,058.41x = 811,752.77
  5. Step 5: Solve for x
    x = 811,752.77/1,058.41
  6. Step 6: Final answer
    x = 766.96

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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.