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Finding the Fourth Proportional to 841.44, 1,160.64 and 530.76

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Solution

The fourth proportional to 841.44, 1,160.64 and 530.76 is: 732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.44 : 1,160.64 = 530.76 : x
  2. Step 2: Convert to fraction form
    841.44/1,160.64 = 530.76/x
  3. Step 3: Cross multiply
    841.44x = 1,160.64 × 530.76
  4. Step 4: Simplify right side
    841.44x = 616,021.29
  5. Step 5: Solve for x
    x = 616,021.29/841.44
  6. Step 6: Final answer
    x = 732.10

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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.