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Finding the Fourth Proportional to 586.94, 809.16 and 503.66

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Solution

The fourth proportional to 586.94, 809.16 and 503.66 is: 694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.94 : 809.16 = 503.66 : x
  2. Step 2: Convert to fraction form
    586.94/809.16 = 503.66/x
  3. Step 3: Cross multiply
    586.94x = 809.16 × 503.66
  4. Step 4: Simplify right side
    586.94x = 407,541.53
  5. Step 5: Solve for x
    x = 407,541.53/586.94
  6. Step 6: Final answer
    x = 694.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.