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Finding the Fourth Proportional to 1,052.40, 1,570.88 and 976.34

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Solution

The fourth proportional to 1,052.40, 1,570.88 and 976.34 is: 1,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.40 : 1,570.88 = 976.34 : x
  2. Step 2: Convert to fraction form
    1,052.40/1,570.88 = 976.34/x
  3. Step 3: Cross multiply
    1,052.40x = 1,570.88 × 976.34
  4. Step 4: Simplify right side
    1,052.40x = 1,533,712.98
  5. Step 5: Solve for x
    x = 1,533,712.98/1,052.40
  6. Step 6: Final answer
    x = 1,457.35

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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.