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Finding the Fourth Proportional to 924.24, 1,275.40 and 530.98

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Solution

The fourth proportional to 924.24, 1,275.40 and 530.98 is: 732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.24 : 1,275.40 = 530.98 : x
  2. Step 2: Convert to fraction form
    924.24/1,275.40 = 530.98/x
  3. Step 3: Cross multiply
    924.24x = 1,275.40 × 530.98
  4. Step 4: Simplify right side
    924.24x = 677,211.89
  5. Step 5: Solve for x
    x = 677,211.89/924.24
  6. Step 6: Final answer
    x = 732.72

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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.