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Finding the Fourth Proportional to 962.76, 1,444.77 and 530.22

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Solution

The fourth proportional to 962.76, 1,444.77 and 530.22 is: 795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.76 : 1,444.77 = 530.22 : x
  2. Step 2: Convert to fraction form
    962.76/1,444.77 = 530.22/x
  3. Step 3: Cross multiply
    962.76x = 1,444.77 × 530.22
  4. Step 4: Simplify right side
    962.76x = 766,045.95
  5. Step 5: Solve for x
    x = 766,045.95/962.76
  6. Step 6: Final answer
    x = 795.68

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