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Finding the Fourth Proportional to 1,156.51, 1,595.41 and 947.53

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Solution

The fourth proportional to 1,156.51, 1,595.41 and 947.53 is: 1,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.51 : 1,595.41 = 947.53 : x
  2. Step 2: Convert to fraction form
    1,156.51/1,595.41 = 947.53/x
  3. Step 3: Cross multiply
    1,156.51x = 1,595.41 × 947.53
  4. Step 4: Simplify right side
    1,156.51x = 1,511,698.46
  5. Step 5: Solve for x
    x = 1,511,698.46/1,156.51
  6. Step 6: Final answer
    x = 1,307.12

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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.