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Finding the Fourth Proportional to 1,569.95, 2,355.02 and 530.05

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Solution

The fourth proportional to 1,569.95, 2,355.02 and 530.05 is: 795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.95 : 2,355.02 = 530.05 : x
  2. Step 2: Convert to fraction form
    1,569.95/2,355.02 = 530.05/x
  3. Step 3: Cross multiply
    1,569.95x = 2,355.02 × 530.05
  4. Step 4: Simplify right side
    1,569.95x = 1,248,278.35
  5. Step 5: Solve for x
    x = 1,248,278.35/1,569.95
  6. Step 6: Final answer
    x = 795.11

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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.