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Finding the Fourth Proportional to 1,210.13, 1,670.18 and 686.06

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Solution

The fourth proportional to 1,210.13, 1,670.18 and 686.06 is: 946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.13 : 1,670.18 = 686.06 : x
  2. Step 2: Convert to fraction form
    1,210.13/1,670.18 = 686.06/x
  3. Step 3: Cross multiply
    1,210.13x = 1,670.18 × 686.06
  4. Step 4: Simplify right side
    1,210.13x = 1,145,831.91
  5. Step 5: Solve for x
    x = 1,145,831.91/1,210.13
  6. Step 6: Final answer
    x = 946.87

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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.