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Finding the Fourth Proportional to 1,359.29, 1,875.66 and 761.76

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Solution

The fourth proportional to 1,359.29, 1,875.66 and 761.76 is: 1,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.29 : 1,875.66 = 761.76 : x
  2. Step 2: Convert to fraction form
    1,359.29/1,875.66 = 761.76/x
  3. Step 3: Cross multiply
    1,359.29x = 1,875.66 × 761.76
  4. Step 4: Simplify right side
    1,359.29x = 1,428,802.76
  5. Step 5: Solve for x
    x = 1,428,802.76/1,359.29
  6. Step 6: Final answer
    x = 1,051.14

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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.