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Finding the Fourth Proportional to 1,052.66, 1,580.36 and 707.53

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Solution

The fourth proportional to 1,052.66, 1,580.36 and 707.53 is: 1,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.66 : 1,580.36 = 707.53 : x
  2. Step 2: Convert to fraction form
    1,052.66/1,580.36 = 707.53/x
  3. Step 3: Cross multiply
    1,052.66x = 1,580.36 × 707.53
  4. Step 4: Simplify right side
    1,052.66x = 1,118,152.11
  5. Step 5: Solve for x
    x = 1,118,152.11/1,052.66
  6. Step 6: Final answer
    x = 1,062.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.