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Finding the Fourth Proportional to 1,176.84, 1,756.53 and 1,038.45

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Solution

The fourth proportional to 1,176.84, 1,756.53 and 1,038.45 is: 1,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.84 : 1,756.53 = 1,038.45 : x
  2. Step 2: Convert to fraction form
    1,176.84/1,756.53 = 1,038.45/x
  3. Step 3: Cross multiply
    1,176.84x = 1,756.53 × 1,038.45
  4. Step 4: Simplify right side
    1,176.84x = 1,824,068.58
  5. Step 5: Solve for x
    x = 1,824,068.58/1,176.84
  6. Step 6: Final answer
    x = 1,549.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.